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Finding the Fourth Proportional to 491.52, 737.76 and 489.24

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Solution

The fourth proportional to 491.52, 737.76 and 489.24 is: 734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 737.76 = 489.24 : x
  2. Step 2: Convert to fraction form
    491.52/737.76 = 489.24/x
  3. Step 3: Cross multiply
    491.52x = 737.76 × 489.24
  4. Step 4: Simplify right side
    491.52x = 360,941.70
  5. Step 5: Solve for x
    x = 360,941.70/491.52
  6. Step 6: Final answer
    x = 734.34

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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.