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Finding the Fourth Proportional to 949.49, 1,420.19 and 686.55

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Solution

The fourth proportional to 949.49, 1,420.19 and 686.55 is: 1,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.49 : 1,420.19 = 686.55 : x
  2. Step 2: Convert to fraction form
    949.49/1,420.19 = 686.55/x
  3. Step 3: Cross multiply
    949.49x = 1,420.19 × 686.55
  4. Step 4: Simplify right side
    949.49x = 975,028.01
  5. Step 5: Solve for x
    x = 975,028.01/949.49
  6. Step 6: Final answer
    x = 1,026.90

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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.