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Finding the Fourth Proportional to 529.68, 793.65 and 509.43

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Solution

The fourth proportional to 529.68, 793.65 and 509.43 is: 763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.68 : 793.65 = 509.43 : x
  2. Step 2: Convert to fraction form
    529.68/793.65 = 509.43/x
  3. Step 3: Cross multiply
    529.68x = 793.65 × 509.43
  4. Step 4: Simplify right side
    529.68x = 404,302.60
  5. Step 5: Solve for x
    x = 404,302.60/529.68
  6. Step 6: Final answer
    x = 763.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.