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Finding the Fourth Proportional to 508.91, 760.07 and 416.57

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Solution

The fourth proportional to 508.91, 760.07 and 416.57 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.91 : 760.07 = 416.57 : x
  2. Step 2: Convert to fraction form
    508.91/760.07 = 416.57/x
  3. Step 3: Cross multiply
    508.91x = 760.07 × 416.57
  4. Step 4: Simplify right side
    508.91x = 316,616.48
  5. Step 5: Solve for x
    x = 316,616.48/508.91
  6. Step 6: Final answer
    x = 622.15

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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.