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Finding the Fourth Proportional to 598.23, 824.31 and 474.30

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Solution

The fourth proportional to 598.23, 824.31 and 474.30 is: 653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.23 : 824.31 = 474.30 : x
  2. Step 2: Convert to fraction form
    598.23/824.31 = 474.30/x
  3. Step 3: Cross multiply
    598.23x = 824.31 × 474.30
  4. Step 4: Simplify right side
    598.23x = 390,970.23
  5. Step 5: Solve for x
    x = 390,970.23/598.23
  6. Step 6: Final answer
    x = 653.55

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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.