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Finding the Fourth Proportional to 1,032.80, 1,549.48 and 477.68

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Solution

The fourth proportional to 1,032.80, 1,549.48 and 477.68 is: 716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.80 : 1,549.48 = 477.68 : x
  2. Step 2: Convert to fraction form
    1,032.80/1,549.48 = 477.68/x
  3. Step 3: Cross multiply
    1,032.80x = 1,549.48 × 477.68
  4. Step 4: Simplify right side
    1,032.80x = 740,149.05
  5. Step 5: Solve for x
    x = 740,149.05/1,032.80
  6. Step 6: Final answer
    x = 716.64

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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.