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Finding the Fourth Proportional to 570.54, 851.92 and 500.60

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Solution

The fourth proportional to 570.54, 851.92 and 500.60 is: 747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.54 : 851.92 = 500.60 : x
  2. Step 2: Convert to fraction form
    570.54/851.92 = 500.60/x
  3. Step 3: Cross multiply
    570.54x = 851.92 × 500.60
  4. Step 4: Simplify right side
    570.54x = 426,471.15
  5. Step 5: Solve for x
    x = 426,471.15/570.54
  6. Step 6: Final answer
    x = 747.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.