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Finding the Fourth Proportional to 852.60, 1,177.20 and 557.76

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Solution

The fourth proportional to 852.60, 1,177.20 and 557.76 is: 770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.60 : 1,177.20 = 557.76 : x
  2. Step 2: Convert to fraction form
    852.60/1,177.20 = 557.76/x
  3. Step 3: Cross multiply
    852.60x = 1,177.20 × 557.76
  4. Step 4: Simplify right side
    852.60x = 656,595.07
  5. Step 5: Solve for x
    x = 656,595.07/852.60
  6. Step 6: Final answer
    x = 770.11

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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.