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Finding the Fourth Proportional to 1,042.67, 1,437.85 and 701.31

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Solution

The fourth proportional to 1,042.67, 1,437.85 and 701.31 is: 967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.67 : 1,437.85 = 701.31 : x
  2. Step 2: Convert to fraction form
    1,042.67/1,437.85 = 701.31/x
  3. Step 3: Cross multiply
    1,042.67x = 1,437.85 × 701.31
  4. Step 4: Simplify right side
    1,042.67x = 1,008,376.76
  5. Step 5: Solve for x
    x = 1,008,376.76/1,042.67
  6. Step 6: Final answer
    x = 967.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.