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Finding the Fourth Proportional to 949.95, 1,418.04 and 820.78

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Solution

The fourth proportional to 949.95, 1,418.04 and 820.78 is: 1,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.95 : 1,418.04 = 820.78 : x
  2. Step 2: Convert to fraction form
    949.95/1,418.04 = 820.78/x
  3. Step 3: Cross multiply
    949.95x = 1,418.04 × 820.78
  4. Step 4: Simplify right side
    949.95x = 1,163,898.40
  5. Step 5: Solve for x
    x = 1,163,898.40/949.95
  6. Step 6: Final answer
    x = 1,225.23

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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.