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Finding the Fourth Proportional to 842.97, 1,258.07 and 821.10

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Solution

The fourth proportional to 842.97, 1,258.07 and 821.10 is: 1,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.97 : 1,258.07 = 821.10 : x
  2. Step 2: Convert to fraction form
    842.97/1,258.07 = 821.10/x
  3. Step 3: Cross multiply
    842.97x = 1,258.07 × 821.10
  4. Step 4: Simplify right side
    842.97x = 1,032,997.17
  5. Step 5: Solve for x
    x = 1,032,997.17/842.97
  6. Step 6: Final answer
    x = 1,225.43

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Find fourth proportional to 421.49, 629.03 and 410.55
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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.