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Finding the Fourth Proportional to 623.15, 858.92 and 457.31

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Solution

The fourth proportional to 623.15, 858.92 and 457.31 is: 630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.15 : 858.92 = 457.31 : x
  2. Step 2: Convert to fraction form
    623.15/858.92 = 457.31/x
  3. Step 3: Cross multiply
    623.15x = 858.92 × 457.31
  4. Step 4: Simplify right side
    623.15x = 392,789.55
  5. Step 5: Solve for x
    x = 392,789.55/623.15
  6. Step 6: Final answer
    x = 630.33

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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.