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Finding the Fourth Proportional to 828.99, 1,242.32 and 654.89

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Solution

The fourth proportional to 828.99, 1,242.32 and 654.89 is: 981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.99 : 1,242.32 = 654.89 : x
  2. Step 2: Convert to fraction form
    828.99/1,242.32 = 654.89/x
  3. Step 3: Cross multiply
    828.99x = 1,242.32 × 654.89
  4. Step 4: Simplify right side
    828.99x = 813,582.78
  5. Step 5: Solve for x
    x = 813,582.78/828.99
  6. Step 6: Final answer
    x = 981.41

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Double scale
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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.