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Finding the Fourth Proportional to 681.68, 1,015.58 and 658.48

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Solution

The fourth proportional to 681.68, 1,015.58 and 658.48 is: 981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.68 : 1,015.58 = 658.48 : x
  2. Step 2: Convert to fraction form
    681.68/1,015.58 = 658.48/x
  3. Step 3: Cross multiply
    681.68x = 1,015.58 × 658.48
  4. Step 4: Simplify right side
    681.68x = 668,739.12
  5. Step 5: Solve for x
    x = 668,739.12/681.68
  6. Step 6: Final answer
    x = 981.02

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.