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Finding the Fourth Proportional to 674.47, 924.96 and 646.41

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Solution

The fourth proportional to 674.47, 924.96 and 646.41 is: 886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.47 : 924.96 = 646.41 : x
  2. Step 2: Convert to fraction form
    674.47/924.96 = 646.41/x
  3. Step 3: Cross multiply
    674.47x = 924.96 × 646.41
  4. Step 4: Simplify right side
    674.47x = 597,903.39
  5. Step 5: Solve for x
    x = 597,903.39/674.47
  6. Step 6: Final answer
    x = 886.48

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1.5x scale

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.