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Finding the Fourth Proportional to 509.25, 759.63 and 500.88

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Solution

The fourth proportional to 509.25, 759.63 and 500.88 is: 747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 759.63 = 500.88 : x
  2. Step 2: Convert to fraction form
    509.25/759.63 = 500.88/x
  3. Step 3: Cross multiply
    509.25x = 759.63 × 500.88
  4. Step 4: Simplify right side
    509.25x = 380,483.47
  5. Step 5: Solve for x
    x = 380,483.47/509.25
  6. Step 6: Final answer
    x = 747.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.