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Finding the Fourth Proportional to 817.43, 1,225.23 and 654.78

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Solution

The fourth proportional to 817.43, 1,225.23 and 654.78 is: 981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.43 : 1,225.23 = 654.78 : x
  2. Step 2: Convert to fraction form
    817.43/1,225.23 = 654.78/x
  3. Step 3: Cross multiply
    817.43x = 1,225.23 × 654.78
  4. Step 4: Simplify right side
    817.43x = 802,258.24
  5. Step 5: Solve for x
    x = 802,258.24/817.43
  6. Step 6: Final answer
    x = 981.45

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Double scale
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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.