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Finding the Fourth Proportional to 1,290.98, 1,781.52 and 731.45

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Solution

The fourth proportional to 1,290.98, 1,781.52 and 731.45 is: 1,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.98 : 1,781.52 = 731.45 : x
  2. Step 2: Convert to fraction form
    1,290.98/1,781.52 = 731.45/x
  3. Step 3: Cross multiply
    1,290.98x = 1,781.52 × 731.45
  4. Step 4: Simplify right side
    1,290.98x = 1,303,083.90
  5. Step 5: Solve for x
    x = 1,303,083.90/1,290.98
  6. Step 6: Final answer
    x = 1,009.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.