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Finding the Fourth Proportional to 698.84, 964.28 and 436.76

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Solution

The fourth proportional to 698.84, 964.28 and 436.76 is: 602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.84 : 964.28 = 436.76 : x
  2. Step 2: Convert to fraction form
    698.84/964.28 = 436.76/x
  3. Step 3: Cross multiply
    698.84x = 964.28 × 436.76
  4. Step 4: Simplify right side
    698.84x = 421,158.93
  5. Step 5: Solve for x
    x = 421,158.93/698.84
  6. Step 6: Final answer
    x = 602.65

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Half scale
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Double scale
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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.