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Finding the Fourth Proportional to 784.04, 1,169.72 and 713.30

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Solution

The fourth proportional to 784.04, 1,169.72 and 713.30 is: 1,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.04 : 1,169.72 = 713.30 : x
  2. Step 2: Convert to fraction form
    784.04/1,169.72 = 713.30/x
  3. Step 3: Cross multiply
    784.04x = 1,169.72 × 713.30
  4. Step 4: Simplify right side
    784.04x = 834,361.28
  5. Step 5: Solve for x
    x = 834,361.28/784.04
  6. Step 6: Final answer
    x = 1,064.18

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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.