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Finding the Fourth Proportional to 623.92, 860.89 and 424.90

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Solution

The fourth proportional to 623.92, 860.89 and 424.90 is: 586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.92 : 860.89 = 424.90 : x
  2. Step 2: Convert to fraction form
    623.92/860.89 = 424.90/x
  3. Step 3: Cross multiply
    623.92x = 860.89 × 424.90
  4. Step 4: Simplify right side
    623.92x = 365,792.16
  5. Step 5: Solve for x
    x = 365,792.16/623.92
  6. Step 6: Final answer
    x = 586.28

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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.