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Finding the Fourth Proportional to 457.93, 686.74 and 284.34

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Solution

The fourth proportional to 457.93, 686.74 and 284.34 is: 426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.93 : 686.74 = 284.34 : x
  2. Step 2: Convert to fraction form
    457.93/686.74 = 284.34/x
  3. Step 3: Cross multiply
    457.93x = 686.74 × 284.34
  4. Step 4: Simplify right side
    457.93x = 195,267.65
  5. Step 5: Solve for x
    x = 195,267.65/457.93
  6. Step 6: Final answer
    x = 426.41

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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.