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Finding the Fourth Proportional to 971.75, 1,340.46 and 598.66

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Solution

The fourth proportional to 971.75, 1,340.46 and 598.66 is: 825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.75 : 1,340.46 = 598.66 : x
  2. Step 2: Convert to fraction form
    971.75/1,340.46 = 598.66/x
  3. Step 3: Cross multiply
    971.75x = 1,340.46 × 598.66
  4. Step 4: Simplify right side
    971.75x = 802,476.43
  5. Step 5: Solve for x
    x = 802,476.43/971.75
  6. Step 6: Final answer
    x = 825.80

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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.