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Finding the Fourth Proportional to 875.18, 1,311.90 and 412.13

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Solution

The fourth proportional to 875.18, 1,311.90 and 412.13 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.18 : 1,311.90 = 412.13 : x
  2. Step 2: Convert to fraction form
    875.18/1,311.90 = 412.13/x
  3. Step 3: Cross multiply
    875.18x = 1,311.90 × 412.13
  4. Step 4: Simplify right side
    875.18x = 540,674.16
  5. Step 5: Solve for x
    x = 540,674.16/875.18
  6. Step 6: Final answer
    x = 617.79

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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.