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Finding the Fourth Proportional to 696.04, 1,036.10 and 685.65

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Solution

The fourth proportional to 696.04, 1,036.10 and 685.65 is: 1,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.04 : 1,036.10 = 685.65 : x
  2. Step 2: Convert to fraction form
    696.04/1,036.10 = 685.65/x
  3. Step 3: Cross multiply
    696.04x = 1,036.10 × 685.65
  4. Step 4: Simplify right side
    696.04x = 710,407.56
  5. Step 5: Solve for x
    x = 710,407.56/696.04
  6. Step 6: Final answer
    x = 1,020.65

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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.