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Finding the Fourth Proportional to 458.29, 684.10 and 424.45

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Solution

The fourth proportional to 458.29, 684.10 and 424.45 is: 633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.29 : 684.10 = 424.45 : x
  2. Step 2: Convert to fraction form
    458.29/684.10 = 424.45/x
  3. Step 3: Cross multiply
    458.29x = 684.10 × 424.45
  4. Step 4: Simplify right side
    458.29x = 290,360.70
  5. Step 5: Solve for x
    x = 290,360.70/458.29
  6. Step 6: Final answer
    x = 633.58

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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.