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Finding the Fourth Proportional to 768.45, 1,151.76 and 586.20

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Solution

The fourth proportional to 768.45, 1,151.76 and 586.20 is: 878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.45 : 1,151.76 = 586.20 : x
  2. Step 2: Convert to fraction form
    768.45/1,151.76 = 586.20/x
  3. Step 3: Cross multiply
    768.45x = 1,151.76 × 586.20
  4. Step 4: Simplify right side
    768.45x = 675,161.71
  5. Step 5: Solve for x
    x = 675,161.71/768.45
  6. Step 6: Final answer
    x = 878.60

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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.