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Finding the Fourth Proportional to 1,566.86, 2,347.10 and 742.64

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Solution

The fourth proportional to 1,566.86, 2,347.10 and 742.64 is: 1,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.86 : 2,347.10 = 742.64 : x
  2. Step 2: Convert to fraction form
    1,566.86/2,347.10 = 742.64/x
  3. Step 3: Cross multiply
    1,566.86x = 2,347.10 × 742.64
  4. Step 4: Simplify right side
    1,566.86x = 1,743,034.90
  5. Step 5: Solve for x
    x = 1,743,034.90/1,566.86
  6. Step 6: Final answer
    x = 1,112.44

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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.