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Finding the Fourth Proportional to 457.69, 632.19 and 387.67

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Solution

The fourth proportional to 457.69, 632.19 and 387.67 is: 535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.69 : 632.19 = 387.67 : x
  2. Step 2: Convert to fraction form
    457.69/632.19 = 387.67/x
  3. Step 3: Cross multiply
    457.69x = 632.19 × 387.67
  4. Step 4: Simplify right side
    457.69x = 245,081.10
  5. Step 5: Solve for x
    x = 245,081.10/457.69
  6. Step 6: Final answer
    x = 535.47

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