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Finding the Fourth Proportional to 489.36, 737.47 and 458.60

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Solution

The fourth proportional to 489.36, 737.47 and 458.60 is: 691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.36 : 737.47 = 458.60 : x
  2. Step 2: Convert to fraction form
    489.36/737.47 = 458.60/x
  3. Step 3: Cross multiply
    489.36x = 737.47 × 458.60
  4. Step 4: Simplify right side
    489.36x = 338,203.74
  5. Step 5: Solve for x
    x = 338,203.74/489.36
  6. Step 6: Final answer
    x = 691.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.