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Finding the Fourth Proportional to 1,259.30, 1,738.17 and 817.17

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Solution

The fourth proportional to 1,259.30, 1,738.17 and 817.17 is: 1,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.30 : 1,738.17 = 817.17 : x
  2. Step 2: Convert to fraction form
    1,259.30/1,738.17 = 817.17/x
  3. Step 3: Cross multiply
    1,259.30x = 1,738.17 × 817.17
  4. Step 4: Simplify right side
    1,259.30x = 1,420,380.38
  5. Step 5: Solve for x
    x = 1,420,380.38/1,259.30
  6. Step 6: Final answer
    x = 1,127.92

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Half scale
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Double scale
Find fourth proportional to 1,260.30, 1,739.55 and 818.17
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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.