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Finding the Fourth Proportional to 578.10, 862.23 and 508.84

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Solution

The fourth proportional to 578.10, 862.23 and 508.84 is: 758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 862.23 = 508.84 : x
  2. Step 2: Convert to fraction form
    578.10/862.23 = 508.84/x
  3. Step 3: Cross multiply
    578.10x = 862.23 × 508.84
  4. Step 4: Simplify right side
    578.10x = 438,737.11
  5. Step 5: Solve for x
    x = 438,737.11/578.10
  6. Step 6: Final answer
    x = 758.93

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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.