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Finding the Fourth Proportional to 623.52, 860.55 and 458.19

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Solution

The fourth proportional to 623.52, 860.55 and 458.19 is: 632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.52 : 860.55 = 458.19 : x
  2. Step 2: Convert to fraction form
    623.52/860.55 = 458.19/x
  3. Step 3: Cross multiply
    623.52x = 860.55 × 458.19
  4. Step 4: Simplify right side
    623.52x = 394,295.40
  5. Step 5: Solve for x
    x = 394,295.40/623.52
  6. Step 6: Final answer
    x = 632.37

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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.