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Finding the Fourth Proportional to 783.13, 1,081.26 and 700.12

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Solution

The fourth proportional to 783.13, 1,081.26 and 700.12 is: 966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.13 : 1,081.26 = 700.12 : x
  2. Step 2: Convert to fraction form
    783.13/1,081.26 = 700.12/x
  3. Step 3: Cross multiply
    783.13x = 1,081.26 × 700.12
  4. Step 4: Simplify right side
    783.13x = 757,011.75
  5. Step 5: Solve for x
    x = 757,011.75/783.13
  6. Step 6: Final answer
    x = 966.65

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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.