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Finding the Fourth Proportional to 898.31, 1,347.86 and 459.29

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Solution

The fourth proportional to 898.31, 1,347.86 and 459.29 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.31 : 1,347.86 = 459.29 : x
  2. Step 2: Convert to fraction form
    898.31/1,347.86 = 459.29/x
  3. Step 3: Cross multiply
    898.31x = 1,347.86 × 459.29
  4. Step 4: Simplify right side
    898.31x = 619,053.03
  5. Step 5: Solve for x
    x = 619,053.03/898.31
  6. Step 6: Final answer
    x = 689.13

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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.