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Finding the Fourth Proportional to 898.90, 1,348.65 and 282.69

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Solution

The fourth proportional to 898.90, 1,348.65 and 282.69 is: 424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.90 : 1,348.65 = 282.69 : x
  2. Step 2: Convert to fraction form
    898.90/1,348.65 = 282.69/x
  3. Step 3: Cross multiply
    898.90x = 1,348.65 × 282.69
  4. Step 4: Simplify right side
    898.90x = 381,249.87
  5. Step 5: Solve for x
    x = 381,249.87/898.90
  6. Step 6: Final answer
    x = 424.13

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