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Finding the Fourth Proportional to 489.52, 732.16 and 283.58

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Solution

The fourth proportional to 489.52, 732.16 and 283.58 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.52 : 732.16 = 283.58 : x
  2. Step 2: Convert to fraction form
    489.52/732.16 = 283.58/x
  3. Step 3: Cross multiply
    489.52x = 732.16 × 283.58
  4. Step 4: Simplify right side
    489.52x = 207,625.93
  5. Step 5: Solve for x
    x = 207,625.93/489.52
  6. Step 6: Final answer
    x = 424.14

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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.