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Finding the Fourth Proportional to 971.74, 1,339.92 and 761.54

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Solution

The fourth proportional to 971.74, 1,339.92 and 761.54 is: 1,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.74 : 1,339.92 = 761.54 : x
  2. Step 2: Convert to fraction form
    971.74/1,339.92 = 761.54/x
  3. Step 3: Cross multiply
    971.74x = 1,339.92 × 761.54
  4. Step 4: Simplify right side
    971.74x = 1,020,402.68
  5. Step 5: Solve for x
    x = 1,020,402.68/971.74
  6. Step 6: Final answer
    x = 1,050.08

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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.