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Finding the Fourth Proportional to 1,070.82, 1,612.82 and 994.77

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Solution

The fourth proportional to 1,070.82, 1,612.82 and 994.77 is: 1,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.82 : 1,612.82 = 994.77 : x
  2. Step 2: Convert to fraction form
    1,070.82/1,612.82 = 994.77/x
  3. Step 3: Cross multiply
    1,070.82x = 1,612.82 × 994.77
  4. Step 4: Simplify right side
    1,070.82x = 1,604,387.44
  5. Step 5: Solve for x
    x = 1,604,387.44/1,070.82
  6. Step 6: Final answer
    x = 1,498.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.