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Finding the Fourth Proportional to 785.23, 1,178.35 and 722.66

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Solution

The fourth proportional to 785.23, 1,178.35 and 722.66 is: 1,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.23 : 1,178.35 = 722.66 : x
  2. Step 2: Convert to fraction form
    785.23/1,178.35 = 722.66/x
  3. Step 3: Cross multiply
    785.23x = 1,178.35 × 722.66
  4. Step 4: Simplify right side
    785.23x = 851,538.71
  5. Step 5: Solve for x
    x = 851,538.71/785.23
  6. Step 6: Final answer
    x = 1,084.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.