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Finding the Fourth Proportional to 509.39, 759.70 and 460.18

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Solution

The fourth proportional to 509.39, 759.70 and 460.18 is: 686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.39 : 759.70 = 460.18 : x
  2. Step 2: Convert to fraction form
    509.39/759.70 = 460.18/x
  3. Step 3: Cross multiply
    509.39x = 759.70 × 460.18
  4. Step 4: Simplify right side
    509.39x = 349,598.75
  5. Step 5: Solve for x
    x = 349,598.75/509.39
  6. Step 6: Final answer
    x = 686.31

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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.