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Finding the Fourth Proportional to 1,142.40, 1,575.68 and 728.32

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Solution

The fourth proportional to 1,142.40, 1,575.68 and 728.32 is: 1,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.40 : 1,575.68 = 728.32 : x
  2. Step 2: Convert to fraction form
    1,142.40/1,575.68 = 728.32/x
  3. Step 3: Cross multiply
    1,142.40x = 1,575.68 × 728.32
  4. Step 4: Simplify right side
    1,142.40x = 1,147,599.26
  5. Step 5: Solve for x
    x = 1,147,599.26/1,142.40
  6. Step 6: Final answer
    x = 1,004.55

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1.5x scale

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.