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Finding the Fourth Proportional to 503.72, 757.06 and 417.61

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Solution

The fourth proportional to 503.72, 757.06 and 417.61 is: 627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.72 : 757.06 = 417.61 : x
  2. Step 2: Convert to fraction form
    503.72/757.06 = 417.61/x
  3. Step 3: Cross multiply
    503.72x = 757.06 × 417.61
  4. Step 4: Simplify right side
    503.72x = 316,155.83
  5. Step 5: Solve for x
    x = 316,155.83/503.72
  6. Step 6: Final answer
    x = 627.64

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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.