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Finding the Fourth Proportional to 1,566.90, 2,350.32 and 471.22

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Solution

The fourth proportional to 1,566.90, 2,350.32 and 471.22 is: 706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.90 : 2,350.32 = 471.22 : x
  2. Step 2: Convert to fraction form
    1,566.90/2,350.32 = 471.22/x
  3. Step 3: Cross multiply
    1,566.90x = 2,350.32 × 471.22
  4. Step 4: Simplify right side
    1,566.90x = 1,107,517.79
  5. Step 5: Solve for x
    x = 1,107,517.79/1,566.90
  6. Step 6: Final answer
    x = 706.82

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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.