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Finding the Fourth Proportional to 862.19, 1,189.83 and 508.12

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Solution

The fourth proportional to 862.19, 1,189.83 and 508.12 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.19 : 1,189.83 = 508.12 : x
  2. Step 2: Convert to fraction form
    862.19/1,189.83 = 508.12/x
  3. Step 3: Cross multiply
    862.19x = 1,189.83 × 508.12
  4. Step 4: Simplify right side
    862.19x = 604,570.94
  5. Step 5: Solve for x
    x = 604,570.94/862.19
  6. Step 6: Final answer
    x = 701.20

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Why These Related Problems?

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