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Finding the Fourth Proportional to 971.66, 1,456.32 and 738.74

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Solution

The fourth proportional to 971.66, 1,456.32 and 738.74 is: 1,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.66 : 1,456.32 = 738.74 : x
  2. Step 2: Convert to fraction form
    971.66/1,456.32 = 738.74/x
  3. Step 3: Cross multiply
    971.66x = 1,456.32 × 738.74
  4. Step 4: Simplify right side
    971.66x = 1,075,841.84
  5. Step 5: Solve for x
    x = 1,075,841.84/971.66
  6. Step 6: Final answer
    x = 1,107.22

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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.