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Finding the Fourth Proportional to 458.79, 688.38 and 417.07

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Solution

The fourth proportional to 458.79, 688.38 and 417.07 is: 625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.79 : 688.38 = 417.07 : x
  2. Step 2: Convert to fraction form
    458.79/688.38 = 417.07/x
  3. Step 3: Cross multiply
    458.79x = 688.38 × 417.07
  4. Step 4: Simplify right side
    458.79x = 287,102.65
  5. Step 5: Solve for x
    x = 287,102.65/458.79
  6. Step 6: Final answer
    x = 625.78

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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.