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Finding the Fourth Proportional to 850.32, 1,275.00 and 294.86

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Solution

The fourth proportional to 850.32, 1,275.00 and 294.86 is: 442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.32 : 1,275.00 = 294.86 : x
  2. Step 2: Convert to fraction form
    850.32/1,275.00 = 294.86/x
  3. Step 3: Cross multiply
    850.32x = 1,275.00 × 294.86
  4. Step 4: Simplify right side
    850.32x = 375,938.65
  5. Step 5: Solve for x
    x = 375,938.65/850.32
  6. Step 6: Final answer
    x = 442.12

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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.