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Finding the Fourth Proportional to 898.76, 1,348.00 and 429.92

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Solution

The fourth proportional to 898.76, 1,348.00 and 429.92 is: 644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.76 : 1,348.00 = 429.92 : x
  2. Step 2: Convert to fraction form
    898.76/1,348.00 = 429.92/x
  3. Step 3: Cross multiply
    898.76x = 1,348.00 × 429.92
  4. Step 4: Simplify right side
    898.76x = 579,536.64
  5. Step 5: Solve for x
    x = 579,536.64/898.76
  6. Step 6: Final answer
    x = 644.82

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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.