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Finding the Fourth Proportional to 971.76, 1,340.96 and 529.65

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Solution

The fourth proportional to 971.76, 1,340.96 and 529.65 is: 730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.76 : 1,340.96 = 529.65 : x
  2. Step 2: Convert to fraction form
    971.76/1,340.96 = 529.65/x
  3. Step 3: Cross multiply
    971.76x = 1,340.96 × 529.65
  4. Step 4: Simplify right side
    971.76x = 710,236.82
  5. Step 5: Solve for x
    x = 710,236.82/971.76
  6. Step 6: Final answer
    x = 730.88

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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.