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Finding the Fourth Proportional to 871.50, 1,307.12 and 286.76

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Solution

The fourth proportional to 871.50, 1,307.12 and 286.76 is: 430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.50 : 1,307.12 = 286.76 : x
  2. Step 2: Convert to fraction form
    871.50/1,307.12 = 286.76/x
  3. Step 3: Cross multiply
    871.50x = 1,307.12 × 286.76
  4. Step 4: Simplify right side
    871.50x = 374,821.76
  5. Step 5: Solve for x
    x = 374,821.76/871.50
  6. Step 6: Final answer
    x = 430.09

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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.