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Finding the Fourth Proportional to 463.65, 642.77 and 438.99

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Solution

The fourth proportional to 463.65, 642.77 and 438.99 is: 608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.65 : 642.77 = 438.99 : x
  2. Step 2: Convert to fraction form
    463.65/642.77 = 438.99/x
  3. Step 3: Cross multiply
    463.65x = 642.77 × 438.99
  4. Step 4: Simplify right side
    463.65x = 282,167.41
  5. Step 5: Solve for x
    x = 282,167.41/463.65
  6. Step 6: Final answer
    x = 608.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.