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Finding the Fourth Proportional to 768.24, 1,060.24 and 436.76

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Solution

The fourth proportional to 768.24, 1,060.24 and 436.76 is: 602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.24 : 1,060.24 = 436.76 : x
  2. Step 2: Convert to fraction form
    768.24/1,060.24 = 436.76/x
  3. Step 3: Cross multiply
    768.24x = 1,060.24 × 436.76
  4. Step 4: Simplify right side
    768.24x = 463,070.42
  5. Step 5: Solve for x
    x = 463,070.42/768.24
  6. Step 6: Final answer
    x = 602.77

Related Problems

Find fourth proportional to 384.12, 530.12 and 218.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.