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Finding the Fourth Proportional to 462.93, 638.61 and 285.75

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Solution

The fourth proportional to 462.93, 638.61 and 285.75 is: 394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.93 : 638.61 = 285.75 : x
  2. Step 2: Convert to fraction form
    462.93/638.61 = 285.75/x
  3. Step 3: Cross multiply
    462.93x = 638.61 × 285.75
  4. Step 4: Simplify right side
    462.93x = 182,482.81
  5. Step 5: Solve for x
    x = 182,482.81/462.93
  6. Step 6: Final answer
    x = 394.19

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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.