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Finding the Fourth Proportional to 598.80, 827.24 and 474.06

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Solution

The fourth proportional to 598.80, 827.24 and 474.06 is: 654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 827.24 = 474.06 : x
  2. Step 2: Convert to fraction form
    598.80/827.24 = 474.06/x
  3. Step 3: Cross multiply
    598.80x = 827.24 × 474.06
  4. Step 4: Simplify right side
    598.80x = 392,159.02
  5. Step 5: Solve for x
    x = 392,159.02/598.80
  6. Step 6: Final answer
    x = 654.91

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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.