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Finding the Fourth Proportional to 768.64, 1,060.33 and 503.24

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Solution

The fourth proportional to 768.64, 1,060.33 and 503.24 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.64 : 1,060.33 = 503.24 : x
  2. Step 2: Convert to fraction form
    768.64/1,060.33 = 503.24/x
  3. Step 3: Cross multiply
    768.64x = 1,060.33 × 503.24
  4. Step 4: Simplify right side
    768.64x = 533,600.47
  5. Step 5: Solve for x
    x = 533,600.47/768.64
  6. Step 6: Final answer
    x = 694.21

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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.