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Finding the Fourth Proportional to 819.99, 1,130.31 and 557.55

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Solution

The fourth proportional to 819.99, 1,130.31 and 557.55 is: 768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.99 : 1,130.31 = 557.55 : x
  2. Step 2: Convert to fraction form
    819.99/1,130.31 = 557.55/x
  3. Step 3: Cross multiply
    819.99x = 1,130.31 × 557.55
  4. Step 4: Simplify right side
    819.99x = 630,204.34
  5. Step 5: Solve for x
    x = 630,204.34/819.99
  6. Step 6: Final answer
    x = 768.55

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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.