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Finding the Fourth Proportional to 854.64, 1,176.48 and 632.88

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Solution

The fourth proportional to 854.64, 1,176.48 and 632.88 is: 871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.64 : 1,176.48 = 632.88 : x
  2. Step 2: Convert to fraction form
    854.64/1,176.48 = 632.88/x
  3. Step 3: Cross multiply
    854.64x = 1,176.48 × 632.88
  4. Step 4: Simplify right side
    854.64x = 744,570.66
  5. Step 5: Solve for x
    x = 744,570.66/854.64
  6. Step 6: Final answer
    x = 871.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.