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Finding the Fourth Proportional to 1,044.67, 1,567.02 and 981.31

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Solution

The fourth proportional to 1,044.67, 1,567.02 and 981.31 is: 1,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.67 : 1,567.02 = 981.31 : x
  2. Step 2: Convert to fraction form
    1,044.67/1,567.02 = 981.31/x
  3. Step 3: Cross multiply
    1,044.67x = 1,567.02 × 981.31
  4. Step 4: Simplify right side
    1,044.67x = 1,537,732.40
  5. Step 5: Solve for x
    x = 1,537,732.40/1,044.67
  6. Step 6: Final answer
    x = 1,471.98

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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.