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Finding the Fourth Proportional to 898.93, 1,348.39 and 282.68

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Solution

The fourth proportional to 898.93, 1,348.39 and 282.68 is: 424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.93 : 1,348.39 = 282.68 : x
  2. Step 2: Convert to fraction form
    898.93/1,348.39 = 282.68/x
  3. Step 3: Cross multiply
    898.93x = 1,348.39 × 282.68
  4. Step 4: Simplify right side
    898.93x = 381,162.89
  5. Step 5: Solve for x
    x = 381,162.89/898.93
  6. Step 6: Final answer
    x = 424.02

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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.