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Finding the Fourth Proportional to 598.19, 898.65 and 425.28

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Solution

The fourth proportional to 598.19, 898.65 and 425.28 is: 638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.19 : 898.65 = 425.28 : x
  2. Step 2: Convert to fraction form
    598.19/898.65 = 425.28/x
  3. Step 3: Cross multiply
    598.19x = 898.65 × 425.28
  4. Step 4: Simplify right side
    598.19x = 382,177.87
  5. Step 5: Solve for x
    x = 382,177.87/598.19
  6. Step 6: Final answer
    x = 638.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.