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Finding the Fourth Proportional to 509.39, 762.59 and 460.76

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Solution

The fourth proportional to 509.39, 762.59 and 460.76 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.39 : 762.59 = 460.76 : x
  2. Step 2: Convert to fraction form
    509.39/762.59 = 460.76/x
  3. Step 3: Cross multiply
    509.39x = 762.59 × 460.76
  4. Step 4: Simplify right side
    509.39x = 351,368.31
  5. Step 5: Solve for x
    x = 351,368.31/509.39
  6. Step 6: Final answer
    x = 689.78

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1.5x scale

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.