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Finding the Fourth Proportional to 462, 691.86 and 358.42

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Solution

The fourth proportional to 462, 691.86 and 358.42 is: 536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 691.86 = 358.42 : x
  2. Step 2: Convert to fraction form
    462/691.86 = 358.42/x
  3. Step 3: Cross multiply
    462x = 691.86 × 358.42
  4. Step 4: Simplify right side
    462x = 247,974.67
  5. Step 5: Solve for x
    x = 247,974.67/462
  6. Step 6: Final answer
    x = 536.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.