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Finding the Fourth Proportional to 971.89, 1,341.46 and 599.17

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Solution

The fourth proportional to 971.89, 1,341.46 and 599.17 is: 827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.89 : 1,341.46 = 599.17 : x
  2. Step 2: Convert to fraction form
    971.89/1,341.46 = 599.17/x
  3. Step 3: Cross multiply
    971.89x = 1,341.46 × 599.17
  4. Step 4: Simplify right side
    971.89x = 803,759.59
  5. Step 5: Solve for x
    x = 803,759.59/971.89
  6. Step 6: Final answer
    x = 827.01

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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.