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Finding the Fourth Proportional to 780.92, 1,170.14 and 626.04

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Solution

The fourth proportional to 780.92, 1,170.14 and 626.04 is: 938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.92 : 1,170.14 = 626.04 : x
  2. Step 2: Convert to fraction form
    780.92/1,170.14 = 626.04/x
  3. Step 3: Cross multiply
    780.92x = 1,170.14 × 626.04
  4. Step 4: Simplify right side
    780.92x = 732,554.45
  5. Step 5: Solve for x
    x = 732,554.45/780.92
  6. Step 6: Final answer
    x = 938.07

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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.