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Finding the Fourth Proportional to 998.97, 1,490.64 and 895.20

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Solution

The fourth proportional to 998.97, 1,490.64 and 895.20 is: 1,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.97 : 1,490.64 = 895.20 : x
  2. Step 2: Convert to fraction form
    998.97/1,490.64 = 895.20/x
  3. Step 3: Cross multiply
    998.97x = 1,490.64 × 895.20
  4. Step 4: Simplify right side
    998.97x = 1,334,420.93
  5. Step 5: Solve for x
    x = 1,334,420.93/998.97
  6. Step 6: Final answer
    x = 1,335.80

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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.