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Finding the Fourth Proportional to 910.68, 1,358.97 and 780.60

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Solution

The fourth proportional to 910.68, 1,358.97 and 780.60 is: 1,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.68 : 1,358.97 = 780.60 : x
  2. Step 2: Convert to fraction form
    910.68/1,358.97 = 780.60/x
  3. Step 3: Cross multiply
    910.68x = 1,358.97 × 780.60
  4. Step 4: Simplify right side
    910.68x = 1,060,811.98
  5. Step 5: Solve for x
    x = 1,060,811.98/910.68
  6. Step 6: Final answer
    x = 1,164.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.