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Finding the Fourth Proportional to 1,562.50, 2,344.14 and 466.86

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Solution

The fourth proportional to 1,562.50, 2,344.14 and 466.86 is: 700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.50 : 2,344.14 = 466.86 : x
  2. Step 2: Convert to fraction form
    1,562.50/2,344.14 = 466.86/x
  3. Step 3: Cross multiply
    1,562.50x = 2,344.14 × 466.86
  4. Step 4: Simplify right side
    1,562.50x = 1,094,385.20
  5. Step 5: Solve for x
    x = 1,094,385.20/1,562.50
  6. Step 6: Final answer
    x = 700.41

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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.