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Finding the Fourth Proportional to 951.77, 1,313.92 and 598.20

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Solution

The fourth proportional to 951.77, 1,313.92 and 598.20 is: 825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.77 : 1,313.92 = 598.20 : x
  2. Step 2: Convert to fraction form
    951.77/1,313.92 = 598.20/x
  3. Step 3: Cross multiply
    951.77x = 1,313.92 × 598.20
  4. Step 4: Simplify right side
    951.77x = 785,986.94
  5. Step 5: Solve for x
    x = 785,986.94/951.77
  6. Step 6: Final answer
    x = 825.82

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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.