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Finding the Fourth Proportional to 971.77, 1,340.72 and 552.08

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Solution

The fourth proportional to 971.77, 1,340.72 and 552.08 is: 761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.77 : 1,340.72 = 552.08 : x
  2. Step 2: Convert to fraction form
    971.77/1,340.72 = 552.08/x
  3. Step 3: Cross multiply
    971.77x = 1,340.72 × 552.08
  4. Step 4: Simplify right side
    971.77x = 740,184.70
  5. Step 5: Solve for x
    x = 740,184.70/971.77
  6. Step 6: Final answer
    x = 761.69

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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.