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Finding the Fourth Proportional to 898.79, 1,348.40 and 459.86

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Solution

The fourth proportional to 898.79, 1,348.40 and 459.86 is: 689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.79 : 1,348.40 = 459.86 : x
  2. Step 2: Convert to fraction form
    898.79/1,348.40 = 459.86/x
  3. Step 3: Cross multiply
    898.79x = 1,348.40 × 459.86
  4. Step 4: Simplify right side
    898.79x = 620,066.18
  5. Step 5: Solve for x
    x = 620,066.18/898.79
  6. Step 6: Final answer
    x = 689.89

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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.