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Finding the Fourth Proportional to 649.92, 975.01 and 187.70

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Solution

The fourth proportional to 649.92, 975.01 and 187.70 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 975.01 = 187.70 : x
  2. Step 2: Convert to fraction form
    649.92/975.01 = 187.70/x
  3. Step 3: Cross multiply
    649.92x = 975.01 × 187.70
  4. Step 4: Simplify right side
    649.92x = 183,009.38
  5. Step 5: Solve for x
    x = 183,009.38/649.92
  6. Step 6: Final answer
    x = 281.59

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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.