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Finding the Fourth Proportional to 876.65, 1,315.71 and 414.75

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Solution

The fourth proportional to 876.65, 1,315.71 and 414.75 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.65 : 1,315.71 = 414.75 : x
  2. Step 2: Convert to fraction form
    876.65/1,315.71 = 414.75/x
  3. Step 3: Cross multiply
    876.65x = 1,315.71 × 414.75
  4. Step 4: Simplify right side
    876.65x = 545,690.72
  5. Step 5: Solve for x
    x = 545,690.72/876.65
  6. Step 6: Final answer
    x = 622.48

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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.