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Finding the Fourth Proportional to 784.23, 1,170.62 and 727.13

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Solution

The fourth proportional to 784.23, 1,170.62 and 727.13 is: 1,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.23 : 1,170.62 = 727.13 : x
  2. Step 2: Convert to fraction form
    784.23/1,170.62 = 727.13/x
  3. Step 3: Cross multiply
    784.23x = 1,170.62 × 727.13
  4. Step 4: Simplify right side
    784.23x = 851,187.07
  5. Step 5: Solve for x
    x = 851,187.07/784.23
  6. Step 6: Final answer
    x = 1,085.38

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1.5x scale

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.