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Finding the Fourth Proportional to 971.92, 1,340.47 and 598.23

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Solution

The fourth proportional to 971.92, 1,340.47 and 598.23 is: 825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,340.47 = 598.23 : x
  2. Step 2: Convert to fraction form
    971.92/1,340.47 = 598.23/x
  3. Step 3: Cross multiply
    971.92x = 1,340.47 × 598.23
  4. Step 4: Simplify right side
    971.92x = 801,909.37
  5. Step 5: Solve for x
    x = 801,909.37/971.92
  6. Step 6: Final answer
    x = 825.08

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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.