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Finding the Fourth Proportional to 647.84, 971.80 and 185.65

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Solution

The fourth proportional to 647.84, 971.80 and 185.65 is: 278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 971.80 = 185.65 : x
  2. Step 2: Convert to fraction form
    647.84/971.80 = 185.65/x
  3. Step 3: Cross multiply
    647.84x = 971.80 × 185.65
  4. Step 4: Simplify right side
    647.84x = 180,414.67
  5. Step 5: Solve for x
    x = 180,414.67/647.84
  6. Step 6: Final answer
    x = 278.49

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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.