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Finding the Fourth Proportional to 1,354.68, 2,031.24 and 532

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Solution

The fourth proportional to 1,354.68, 2,031.24 and 532 is: 797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.68 : 2,031.24 = 532 : x
  2. Step 2: Convert to fraction form
    1,354.68/2,031.24 = 532/x
  3. Step 3: Cross multiply
    1,354.68x = 2,031.24 × 532
  4. Step 4: Simplify right side
    1,354.68x = 1,080,619.68
  5. Step 5: Solve for x
    x = 1,080,619.68/1,354.68
  6. Step 6: Final answer
    x = 797.69

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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.