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Finding the Fourth Proportional to 888.16, 1,331.75 and 412.72

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Solution

The fourth proportional to 888.16, 1,331.75 and 412.72 is: 618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.16 : 1,331.75 = 412.72 : x
  2. Step 2: Convert to fraction form
    888.16/1,331.75 = 412.72/x
  3. Step 3: Cross multiply
    888.16x = 1,331.75 × 412.72
  4. Step 4: Simplify right side
    888.16x = 549,639.86
  5. Step 5: Solve for x
    x = 549,639.86/888.16
  6. Step 6: Final answer
    x = 618.85

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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.