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Finding the Fourth Proportional to 765.13, 1,056.08 and 503.50

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Solution

The fourth proportional to 765.13, 1,056.08 and 503.50 is: 694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.13 : 1,056.08 = 503.50 : x
  2. Step 2: Convert to fraction form
    765.13/1,056.08 = 503.50/x
  3. Step 3: Cross multiply
    765.13x = 1,056.08 × 503.50
  4. Step 4: Simplify right side
    765.13x = 531,736.28
  5. Step 5: Solve for x
    x = 531,736.28/765.13
  6. Step 6: Final answer
    x = 694.96

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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.