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Finding the Fourth Proportional to 883.16, 1,215.86 and 766.76

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Solution

The fourth proportional to 883.16, 1,215.86 and 766.76 is: 1,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.16 : 1,215.86 = 766.76 : x
  2. Step 2: Convert to fraction form
    883.16/1,215.86 = 766.76/x
  3. Step 3: Cross multiply
    883.16x = 1,215.86 × 766.76
  4. Step 4: Simplify right side
    883.16x = 932,272.81
  5. Step 5: Solve for x
    x = 932,272.81/883.16
  6. Step 6: Final answer
    x = 1,055.61

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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.