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Finding the Fourth Proportional to 819.76, 1,129.80 and 598.36

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Solution

The fourth proportional to 819.76, 1,129.80 and 598.36 is: 824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.76 : 1,129.80 = 598.36 : x
  2. Step 2: Convert to fraction form
    819.76/1,129.80 = 598.36/x
  3. Step 3: Cross multiply
    819.76x = 1,129.80 × 598.36
  4. Step 4: Simplify right side
    819.76x = 676,027.13
  5. Step 5: Solve for x
    x = 676,027.13/819.76
  6. Step 6: Final answer
    x = 824.66

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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.