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Finding the Fourth Proportional to 870.28, 1,306.94 and 750.28

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Solution

The fourth proportional to 870.28, 1,306.94 and 750.28 is: 1,126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.28 : 1,306.94 = 750.28 : x
  2. Step 2: Convert to fraction form
    870.28/1,306.94 = 750.28/x
  3. Step 3: Cross multiply
    870.28x = 1,306.94 × 750.28
  4. Step 4: Simplify right side
    870.28x = 980,570.94
  5. Step 5: Solve for x
    x = 980,570.94/870.28
  6. Step 6: Final answer
    x = 1,126.73

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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.