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Finding the Fourth Proportional to 860.76, 1,282.35 and 819.45

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Solution

The fourth proportional to 860.76, 1,282.35 and 819.45 is: 1,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.76 : 1,282.35 = 819.45 : x
  2. Step 2: Convert to fraction form
    860.76/1,282.35 = 819.45/x
  3. Step 3: Cross multiply
    860.76x = 1,282.35 × 819.45
  4. Step 4: Simplify right side
    860.76x = 1,050,821.71
  5. Step 5: Solve for x
    x = 1,050,821.71/860.76
  6. Step 6: Final answer
    x = 1,220.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.