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Finding the Fourth Proportional to 616.04, 849.73 and 426.65

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Solution

The fourth proportional to 616.04, 849.73 and 426.65 is: 588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.04 : 849.73 = 426.65 : x
  2. Step 2: Convert to fraction form
    616.04/849.73 = 426.65/x
  3. Step 3: Cross multiply
    616.04x = 849.73 × 426.65
  4. Step 4: Simplify right side
    616.04x = 362,538.36
  5. Step 5: Solve for x
    x = 362,538.36/616.04
  6. Step 6: Final answer
    x = 588.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.