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Finding the Fourth Proportional to 971.70, 1,340.96 and 598.46

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Solution

The fourth proportional to 971.70, 1,340.96 and 598.46 is: 825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.70 : 1,340.96 = 598.46 : x
  2. Step 2: Convert to fraction form
    971.70/1,340.96 = 598.46/x
  3. Step 3: Cross multiply
    971.70x = 1,340.96 × 598.46
  4. Step 4: Simplify right side
    971.70x = 802,512.54
  5. Step 5: Solve for x
    x = 802,512.54/971.70
  6. Step 6: Final answer
    x = 825.89

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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.