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Finding the Fourth Proportional to 898.34, 1,347.67 and 459.88

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Solution

The fourth proportional to 898.34, 1,347.67 and 459.88 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.34 : 1,347.67 = 459.88 : x
  2. Step 2: Convert to fraction form
    898.34/1,347.67 = 459.88/x
  3. Step 3: Cross multiply
    898.34x = 1,347.67 × 459.88
  4. Step 4: Simplify right side
    898.34x = 619,767.01
  5. Step 5: Solve for x
    x = 619,767.01/898.34
  6. Step 6: Final answer
    x = 689.90

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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.