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Finding the Fourth Proportional to 904.68, 1,248.84 and 642.72

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Solution

The fourth proportional to 904.68, 1,248.84 and 642.72 is: 887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.68 : 1,248.84 = 642.72 : x
  2. Step 2: Convert to fraction form
    904.68/1,248.84 = 642.72/x
  3. Step 3: Cross multiply
    904.68x = 1,248.84 × 642.72
  4. Step 4: Simplify right side
    904.68x = 802,654.44
  5. Step 5: Solve for x
    x = 802,654.44/904.68
  6. Step 6: Final answer
    x = 887.22

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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.