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Finding the Fourth Proportional to 980.86, 1,472.13 and 569.42

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Solution

The fourth proportional to 980.86, 1,472.13 and 569.42 is: 854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.86 : 1,472.13 = 569.42 : x
  2. Step 2: Convert to fraction form
    980.86/1,472.13 = 569.42/x
  3. Step 3: Cross multiply
    980.86x = 1,472.13 × 569.42
  4. Step 4: Simplify right side
    980.86x = 838,263.94
  5. Step 5: Solve for x
    x = 838,263.94/980.86
  6. Step 6: Final answer
    x = 854.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.