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Finding the Fourth Proportional to 1,053.32, 1,452.03 and 654.72

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Solution

The fourth proportional to 1,053.32, 1,452.03 and 654.72 is: 902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.32 : 1,452.03 = 654.72 : x
  2. Step 2: Convert to fraction form
    1,053.32/1,452.03 = 654.72/x
  3. Step 3: Cross multiply
    1,053.32x = 1,452.03 × 654.72
  4. Step 4: Simplify right side
    1,053.32x = 950,673.08
  5. Step 5: Solve for x
    x = 950,673.08/1,053.32
  6. Step 6: Final answer
    x = 902.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.