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Finding the Fourth Proportional to 1,032.19, 1,546.86 and 483.41

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Solution

The fourth proportional to 1,032.19, 1,546.86 and 483.41 is: 724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.19 : 1,546.86 = 483.41 : x
  2. Step 2: Convert to fraction form
    1,032.19/1,546.86 = 483.41/x
  3. Step 3: Cross multiply
    1,032.19x = 1,546.86 × 483.41
  4. Step 4: Simplify right side
    1,032.19x = 747,767.59
  5. Step 5: Solve for x
    x = 747,767.59/1,032.19
  6. Step 6: Final answer
    x = 724.45

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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.