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Finding the Fourth Proportional to 1,040.64, 1,445.72 and 1,031.12

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Solution

The fourth proportional to 1,040.64, 1,445.72 and 1,031.12 is: 1,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.64 : 1,445.72 = 1,031.12 : x
  2. Step 2: Convert to fraction form
    1,040.64/1,445.72 = 1,031.12/x
  3. Step 3: Cross multiply
    1,040.64x = 1,445.72 × 1,031.12
  4. Step 4: Simplify right side
    1,040.64x = 1,490,710.81
  5. Step 5: Solve for x
    x = 1,490,710.81/1,040.64
  6. Step 6: Final answer
    x = 1,432.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.