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Finding the Fourth Proportional to 648.86, 973.43 and 253.61

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Solution

The fourth proportional to 648.86, 973.43 and 253.61 is: 380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 973.43 = 253.61 : x
  2. Step 2: Convert to fraction form
    648.86/973.43 = 253.61/x
  3. Step 3: Cross multiply
    648.86x = 973.43 × 253.61
  4. Step 4: Simplify right side
    648.86x = 246,876.95
  5. Step 5: Solve for x
    x = 246,876.95/648.86
  6. Step 6: Final answer
    x = 380.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.