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Finding the Fourth Proportional to 624.17, 860.63 and 458.46

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Solution

The fourth proportional to 624.17, 860.63 and 458.46 is: 632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.17 : 860.63 = 458.46 : x
  2. Step 2: Convert to fraction form
    624.17/860.63 = 458.46/x
  3. Step 3: Cross multiply
    624.17x = 860.63 × 458.46
  4. Step 4: Simplify right side
    624.17x = 394,562.14
  5. Step 5: Solve for x
    x = 394,562.14/624.17
  6. Step 6: Final answer
    x = 632.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.