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Finding the Fourth Proportional to 1,041.80, 1,562.70 and 972.95

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Solution

The fourth proportional to 1,041.80, 1,562.70 and 972.95 is: 1,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.80 : 1,562.70 = 972.95 : x
  2. Step 2: Convert to fraction form
    1,041.80/1,562.70 = 972.95/x
  3. Step 3: Cross multiply
    1,041.80x = 1,562.70 × 972.95
  4. Step 4: Simplify right side
    1,041.80x = 1,520,428.97
  5. Step 5: Solve for x
    x = 1,520,428.97/1,041.80
  6. Step 6: Final answer
    x = 1,459.43

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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.