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Finding the Fourth Proportional to 898.49, 1,347.71 and 667.77

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Solution

The fourth proportional to 898.49, 1,347.71 and 667.77 is: 1,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.49 : 1,347.71 = 667.77 : x
  2. Step 2: Convert to fraction form
    898.49/1,347.71 = 667.77/x
  3. Step 3: Cross multiply
    898.49x = 1,347.71 × 667.77
  4. Step 4: Simplify right side
    898.49x = 899,960.31
  5. Step 5: Solve for x
    x = 899,960.31/898.49
  6. Step 6: Final answer
    x = 1,001.64

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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.