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Finding the Fourth Proportional to 898.80, 1,348.55 and 533.79

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Solution

The fourth proportional to 898.80, 1,348.55 and 533.79 is: 800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.80 : 1,348.55 = 533.79 : x
  2. Step 2: Convert to fraction form
    898.80/1,348.55 = 533.79/x
  3. Step 3: Cross multiply
    898.80x = 1,348.55 × 533.79
  4. Step 4: Simplify right side
    898.80x = 719,841.84
  5. Step 5: Solve for x
    x = 719,841.84/898.80
  6. Step 6: Final answer
    x = 800.90

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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.