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Finding the Fourth Proportional to 870.89, 1,306.53 and 293.75

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Solution

The fourth proportional to 870.89, 1,306.53 and 293.75 is: 440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.89 : 1,306.53 = 293.75 : x
  2. Step 2: Convert to fraction form
    870.89/1,306.53 = 293.75/x
  3. Step 3: Cross multiply
    870.89x = 1,306.53 × 293.75
  4. Step 4: Simplify right side
    870.89x = 383,793.19
  5. Step 5: Solve for x
    x = 383,793.19/870.89
  6. Step 6: Final answer
    x = 440.69

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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.