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Finding the Fourth Proportional to 507.39, 756.72 and 458.18

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Solution

The fourth proportional to 507.39, 756.72 and 458.18 is: 683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 756.72 = 458.18 : x
  2. Step 2: Convert to fraction form
    507.39/756.72 = 458.18/x
  3. Step 3: Cross multiply
    507.39x = 756.72 × 458.18
  4. Step 4: Simplify right side
    507.39x = 346,713.86
  5. Step 5: Solve for x
    x = 346,713.86/507.39
  6. Step 6: Final answer
    x = 683.33

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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.