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Finding the Fourth Proportional to 1,293.76, 1,785.12 and 846.29

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Solution

The fourth proportional to 1,293.76, 1,785.12 and 846.29 is: 1,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.76 : 1,785.12 = 846.29 : x
  2. Step 2: Convert to fraction form
    1,293.76/1,785.12 = 846.29/x
  3. Step 3: Cross multiply
    1,293.76x = 1,785.12 × 846.29
  4. Step 4: Simplify right side
    1,293.76x = 1,510,721.45
  5. Step 5: Solve for x
    x = 1,510,721.45/1,293.76
  6. Step 6: Final answer
    x = 1,167.70

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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.