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Finding the Fourth Proportional to 547.48, 752.33 and 489.16

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Solution

The fourth proportional to 547.48, 752.33 and 489.16 is: 672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.48 : 752.33 = 489.16 : x
  2. Step 2: Convert to fraction form
    547.48/752.33 = 489.16/x
  3. Step 3: Cross multiply
    547.48x = 752.33 × 489.16
  4. Step 4: Simplify right side
    547.48x = 368,009.74
  5. Step 5: Solve for x
    x = 368,009.74/547.48
  6. Step 6: Final answer
    x = 672.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.