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Finding the Fourth Proportional to 489.10, 729.83 and 437.31

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Solution

The fourth proportional to 489.10, 729.83 and 437.31 is: 652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.10 : 729.83 = 437.31 : x
  2. Step 2: Convert to fraction form
    489.10/729.83 = 437.31/x
  3. Step 3: Cross multiply
    489.10x = 729.83 × 437.31
  4. Step 4: Simplify right side
    489.10x = 319,161.60
  5. Step 5: Solve for x
    x = 319,161.60/489.10
  6. Step 6: Final answer
    x = 652.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.