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Finding the Fourth Proportional to 983.18, 1,475.32 and 571.70

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Solution

The fourth proportional to 983.18, 1,475.32 and 571.70 is: 857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.18 : 1,475.32 = 571.70 : x
  2. Step 2: Convert to fraction form
    983.18/1,475.32 = 571.70/x
  3. Step 3: Cross multiply
    983.18x = 1,475.32 × 571.70
  4. Step 4: Simplify right side
    983.18x = 843,440.44
  5. Step 5: Solve for x
    x = 843,440.44/983.18
  6. Step 6: Final answer
    x = 857.87

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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.