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Finding the Fourth Proportional to 720.30, 1,072.27 and 686.76

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Solution

The fourth proportional to 720.30, 1,072.27 and 686.76 is: 1,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.30 : 1,072.27 = 686.76 : x
  2. Step 2: Convert to fraction form
    720.30/1,072.27 = 686.76/x
  3. Step 3: Cross multiply
    720.30x = 1,072.27 × 686.76
  4. Step 4: Simplify right side
    720.30x = 736,392.15
  5. Step 5: Solve for x
    x = 736,392.15/720.30
  6. Step 6: Final answer
    x = 1,022.34

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