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Finding the Fourth Proportional to 457.65, 685.76 and 405.71

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Solution

The fourth proportional to 457.65, 685.76 and 405.71 is: 607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.65 : 685.76 = 405.71 : x
  2. Step 2: Convert to fraction form
    457.65/685.76 = 405.71/x
  3. Step 3: Cross multiply
    457.65x = 685.76 × 405.71
  4. Step 4: Simplify right side
    457.65x = 278,214.23
  5. Step 5: Solve for x
    x = 278,214.23/457.65
  6. Step 6: Final answer
    x = 607.93

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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.