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Finding the Fourth Proportional to 897.66, 1,344.94 and 487.08

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Solution

The fourth proportional to 897.66, 1,344.94 and 487.08 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.66 : 1,344.94 = 487.08 : x
  2. Step 2: Convert to fraction form
    897.66/1,344.94 = 487.08/x
  3. Step 3: Cross multiply
    897.66x = 1,344.94 × 487.08
  4. Step 4: Simplify right side
    897.66x = 655,093.38
  5. Step 5: Solve for x
    x = 655,093.38/897.66
  6. Step 6: Final answer
    x = 729.78

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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.