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Finding the Fourth Proportional to 508.66, 759.19 and 438.94

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Solution

The fourth proportional to 508.66, 759.19 and 438.94 is: 655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.66 : 759.19 = 438.94 : x
  2. Step 2: Convert to fraction form
    508.66/759.19 = 438.94/x
  3. Step 3: Cross multiply
    508.66x = 759.19 × 438.94
  4. Step 4: Simplify right side
    508.66x = 333,238.86
  5. Step 5: Solve for x
    x = 333,238.86/508.66
  6. Step 6: Final answer
    x = 655.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.