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Finding the Fourth Proportional to 819.28, 1,130.12 and 524.20

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Solution

The fourth proportional to 819.28, 1,130.12 and 524.20 is: 723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.28 : 1,130.12 = 524.20 : x
  2. Step 2: Convert to fraction form
    819.28/1,130.12 = 524.20/x
  3. Step 3: Cross multiply
    819.28x = 1,130.12 × 524.20
  4. Step 4: Simplify right side
    819.28x = 592,408.90
  5. Step 5: Solve for x
    x = 592,408.90/819.28
  6. Step 6: Final answer
    x = 723.08

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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.