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Finding the Fourth Proportional to 765.59, 1,055.84 and 503.55

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Solution

The fourth proportional to 765.59, 1,055.84 and 503.55 is: 694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.59 : 1,055.84 = 503.55 : x
  2. Step 2: Convert to fraction form
    765.59/1,055.84 = 503.55/x
  3. Step 3: Cross multiply
    765.59x = 1,055.84 × 503.55
  4. Step 4: Simplify right side
    765.59x = 531,665.71
  5. Step 5: Solve for x
    x = 531,665.71/765.59
  6. Step 6: Final answer
    x = 694.46

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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.