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Finding the Fourth Proportional to 605.64, 906.42 and 507.24

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Solution

The fourth proportional to 605.64, 906.42 and 507.24 is: 759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.64 : 906.42 = 507.24 : x
  2. Step 2: Convert to fraction form
    605.64/906.42 = 507.24/x
  3. Step 3: Cross multiply
    605.64x = 906.42 × 507.24
  4. Step 4: Simplify right side
    605.64x = 459,772.48
  5. Step 5: Solve for x
    x = 459,772.48/605.64
  6. Step 6: Final answer
    x = 759.15

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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.