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Finding the Fourth Proportional to 681.96, 946.65 and 638.76

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Solution

The fourth proportional to 681.96, 946.65 and 638.76 is: 886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.96 : 946.65 = 638.76 : x
  2. Step 2: Convert to fraction form
    681.96/946.65 = 638.76/x
  3. Step 3: Cross multiply
    681.96x = 946.65 × 638.76
  4. Step 4: Simplify right side
    681.96x = 604,682.15
  5. Step 5: Solve for x
    x = 604,682.15/681.96
  6. Step 6: Final answer
    x = 886.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.