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Finding the Fourth Proportional to 877.65, 1,315.66 and 330.20

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Solution

The fourth proportional to 877.65, 1,315.66 and 330.20 is: 494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.65 : 1,315.66 = 330.20 : x
  2. Step 2: Convert to fraction form
    877.65/1,315.66 = 330.20/x
  3. Step 3: Cross multiply
    877.65x = 1,315.66 × 330.20
  4. Step 4: Simplify right side
    877.65x = 434,422.70
  5. Step 5: Solve for x
    x = 434,422.70/877.65
  6. Step 6: Final answer
    x = 494.98

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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.