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Finding the Fourth Proportional to 910.83, 1,256.58 and 579.14

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Solution

The fourth proportional to 910.83, 1,256.58 and 579.14 is: 798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.83 : 1,256.58 = 579.14 : x
  2. Step 2: Convert to fraction form
    910.83/1,256.58 = 579.14/x
  3. Step 3: Cross multiply
    910.83x = 1,256.58 × 579.14
  4. Step 4: Simplify right side
    910.83x = 727,729.46
  5. Step 5: Solve for x
    x = 727,729.46/910.83
  6. Step 6: Final answer
    x = 798.97

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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.