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Finding the Fourth Proportional to 898.47, 1,347.99 and 282.33

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Solution

The fourth proportional to 898.47, 1,347.99 and 282.33 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.47 : 1,347.99 = 282.33 : x
  2. Step 2: Convert to fraction form
    898.47/1,347.99 = 282.33/x
  3. Step 3: Cross multiply
    898.47x = 1,347.99 × 282.33
  4. Step 4: Simplify right side
    898.47x = 380,578.02
  5. Step 5: Solve for x
    x = 380,578.02/898.47
  6. Step 6: Final answer
    x = 423.58

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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.