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Finding the Fourth Proportional to 1,041.56, 1,562.34 and 718.98

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Solution

The fourth proportional to 1,041.56, 1,562.34 and 718.98 is: 1,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.56 : 1,562.34 = 718.98 : x
  2. Step 2: Convert to fraction form
    1,041.56/1,562.34 = 718.98/x
  3. Step 3: Cross multiply
    1,041.56x = 1,562.34 × 718.98
  4. Step 4: Simplify right side
    1,041.56x = 1,123,284.01
  5. Step 5: Solve for x
    x = 1,123,284.01/1,041.56
  6. Step 6: Final answer
    x = 1,078.46

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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.