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Finding the Fourth Proportional to 898.47, 1,347.30 and 411.66

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Solution

The fourth proportional to 898.47, 1,347.30 and 411.66 is: 617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.47 : 1,347.30 = 411.66 : x
  2. Step 2: Convert to fraction form
    898.47/1,347.30 = 411.66/x
  3. Step 3: Cross multiply
    898.47x = 1,347.30 × 411.66
  4. Step 4: Simplify right side
    898.47x = 554,629.52
  5. Step 5: Solve for x
    x = 554,629.52/898.47
  6. Step 6: Final answer
    x = 617.30

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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.