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Finding the Fourth Proportional to 910.28, 1,256.79 and 700.08

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Solution

The fourth proportional to 910.28, 1,256.79 and 700.08 is: 966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.28 : 1,256.79 = 700.08 : x
  2. Step 2: Convert to fraction form
    910.28/1,256.79 = 700.08/x
  3. Step 3: Cross multiply
    910.28x = 1,256.79 × 700.08
  4. Step 4: Simplify right side
    910.28x = 879,853.54
  5. Step 5: Solve for x
    x = 879,853.54/910.28
  6. Step 6: Final answer
    x = 966.58

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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.