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Finding the Fourth Proportional to 489.40, 732.94 and 424.93

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Solution

The fourth proportional to 489.40, 732.94 and 424.93 is: 636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.40 : 732.94 = 424.93 : x
  2. Step 2: Convert to fraction form
    489.40/732.94 = 424.93/x
  3. Step 3: Cross multiply
    489.40x = 732.94 × 424.93
  4. Step 4: Simplify right side
    489.40x = 311,445.30
  5. Step 5: Solve for x
    x = 311,445.30/489.40
  6. Step 6: Final answer
    x = 636.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.