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Finding the Fourth Proportional to 1,306.97, 1,960.06 and 526.72

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Solution

The fourth proportional to 1,306.97, 1,960.06 and 526.72 is: 789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.97 : 1,960.06 = 526.72 : x
  2. Step 2: Convert to fraction form
    1,306.97/1,960.06 = 526.72/x
  3. Step 3: Cross multiply
    1,306.97x = 1,960.06 × 526.72
  4. Step 4: Simplify right side
    1,306.97x = 1,032,402.80
  5. Step 5: Solve for x
    x = 1,032,402.80/1,306.97
  6. Step 6: Final answer
    x = 789.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.