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Finding the Fourth Proportional to 598.95, 898.55 and 290.97

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Solution

The fourth proportional to 598.95, 898.55 and 290.97 is: 436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.95 : 898.55 = 290.97 : x
  2. Step 2: Convert to fraction form
    598.95/898.55 = 290.97/x
  3. Step 3: Cross multiply
    598.95x = 898.55 × 290.97
  4. Step 4: Simplify right side
    598.95x = 261,454.09
  5. Step 5: Solve for x
    x = 261,454.09/598.95
  6. Step 6: Final answer
    x = 436.52

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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.