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Finding the Fourth Proportional to 781.13, 1,173.32 and 619.94

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Solution

The fourth proportional to 781.13, 1,173.32 and 619.94 is: 931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.13 : 1,173.32 = 619.94 : x
  2. Step 2: Convert to fraction form
    781.13/1,173.32 = 619.94/x
  3. Step 3: Cross multiply
    781.13x = 1,173.32 × 619.94
  4. Step 4: Simplify right side
    781.13x = 727,388.00
  5. Step 5: Solve for x
    x = 727,388.00/781.13
  6. Step 6: Final answer
    x = 931.20

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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.