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Finding the Fourth Proportional to 971.69, 1,340.88 and 552.06

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Solution

The fourth proportional to 971.69, 1,340.88 and 552.06 is: 761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.69 : 1,340.88 = 552.06 : x
  2. Step 2: Convert to fraction form
    971.69/1,340.88 = 552.06/x
  3. Step 3: Cross multiply
    971.69x = 1,340.88 × 552.06
  4. Step 4: Simplify right side
    971.69x = 740,246.21
  5. Step 5: Solve for x
    x = 740,246.21/971.69
  6. Step 6: Final answer
    x = 761.81

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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.