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Finding the Fourth Proportional to 1,562.12, 2,343.03 and 407.87

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Solution

The fourth proportional to 1,562.12, 2,343.03 and 407.87 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.12 : 2,343.03 = 407.87 : x
  2. Step 2: Convert to fraction form
    1,562.12/2,343.03 = 407.87/x
  3. Step 3: Cross multiply
    1,562.12x = 2,343.03 × 407.87
  4. Step 4: Simplify right side
    1,562.12x = 955,649.61
  5. Step 5: Solve for x
    x = 955,649.61/1,562.12
  6. Step 6: Final answer
    x = 611.76

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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.