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Finding the Fourth Proportional to 876.04, 1,312.20 and 414.20

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Solution

The fourth proportional to 876.04, 1,312.20 and 414.20 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.04 : 1,312.20 = 414.20 : x
  2. Step 2: Convert to fraction form
    876.04/1,312.20 = 414.20/x
  3. Step 3: Cross multiply
    876.04x = 1,312.20 × 414.20
  4. Step 4: Simplify right side
    876.04x = 543,513.24
  5. Step 5: Solve for x
    x = 543,513.24/876.04
  6. Step 6: Final answer
    x = 620.42

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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.