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Finding the Fourth Proportional to 887, 1,331 and 431

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Solution

The fourth proportional to 887, 1,331 and 431 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    887 : 1,331 = 431 : x
  2. Step 2: Convert to fraction form
    887/1,331 = 431/x
  3. Step 3: Cross multiply
    887x = 1,331 × 431
  4. Step 4: Simplify right side
    887x = 573,661
  5. Step 5: Solve for x
    x = 573,661/887
  6. Step 6: Final answer
    x = 646.74

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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.