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Finding the Fourth Proportional to 417.70, 625.73 and 315.10

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Solution

The fourth proportional to 417.70, 625.73 and 315.10 is: 472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 625.73 = 315.10 : x
  2. Step 2: Convert to fraction form
    417.70/625.73 = 315.10/x
  3. Step 3: Cross multiply
    417.70x = 625.73 × 315.10
  4. Step 4: Simplify right side
    417.70x = 197,167.52
  5. Step 5: Solve for x
    x = 197,167.52/417.70
  6. Step 6: Final answer
    x = 472.03

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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.