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Finding the Fourth Proportional to 898.47, 1,347.39 and 411.21

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Solution

The fourth proportional to 898.47, 1,347.39 and 411.21 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.47 : 1,347.39 = 411.21 : x
  2. Step 2: Convert to fraction form
    898.47/1,347.39 = 411.21/x
  3. Step 3: Cross multiply
    898.47x = 1,347.39 × 411.21
  4. Step 4: Simplify right side
    898.47x = 554,060.24
  5. Step 5: Solve for x
    x = 554,060.24/898.47
  6. Step 6: Final answer
    x = 616.67

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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.