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Finding the Fourth Proportional to 971.92, 1,341.26 and 529.82

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Solution

The fourth proportional to 971.92, 1,341.26 and 529.82 is: 731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,341.26 = 529.82 : x
  2. Step 2: Convert to fraction form
    971.92/1,341.26 = 529.82/x
  3. Step 3: Cross multiply
    971.92x = 1,341.26 × 529.82
  4. Step 4: Simplify right side
    971.92x = 710,623.72
  5. Step 5: Solve for x
    x = 710,623.72/971.92
  6. Step 6: Final answer
    x = 731.15

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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.