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Finding the Fourth Proportional to 1,290.76, 1,781.25 and 701.29

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Solution

The fourth proportional to 1,290.76, 1,781.25 and 701.29 is: 967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.76 : 1,781.25 = 701.29 : x
  2. Step 2: Convert to fraction form
    1,290.76/1,781.25 = 701.29/x
  3. Step 3: Cross multiply
    1,290.76x = 1,781.25 × 701.29
  4. Step 4: Simplify right side
    1,290.76x = 1,249,172.81
  5. Step 5: Solve for x
    x = 1,249,172.81/1,290.76
  6. Step 6: Final answer
    x = 967.78

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Half scale
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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.