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Finding the Fourth Proportional to 674.08, 924.16 and 661.78

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Solution

The fourth proportional to 674.08, 924.16 and 661.78 is: 907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.08 : 924.16 = 661.78 : x
  2. Step 2: Convert to fraction form
    674.08/924.16 = 661.78/x
  3. Step 3: Cross multiply
    674.08x = 924.16 × 661.78
  4. Step 4: Simplify right side
    674.08x = 611,589.95
  5. Step 5: Solve for x
    x = 611,589.95/674.08
  6. Step 6: Final answer
    x = 907.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.