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Finding the Fourth Proportional to 1,310.11, 1,807.30 and 778.75

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Solution

The fourth proportional to 1,310.11, 1,807.30 and 778.75 is: 1,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.11 : 1,807.30 = 778.75 : x
  2. Step 2: Convert to fraction form
    1,310.11/1,807.30 = 778.75/x
  3. Step 3: Cross multiply
    1,310.11x = 1,807.30 × 778.75
  4. Step 4: Simplify right side
    1,310.11x = 1,407,434.88
  5. Step 5: Solve for x
    x = 1,407,434.88/1,310.11
  6. Step 6: Final answer
    x = 1,074.29

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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.