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Finding the Fourth Proportional to 863.66, 1,191.84 and 509.58

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Solution

The fourth proportional to 863.66, 1,191.84 and 509.58 is: 703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,191.84 = 509.58 : x
  2. Step 2: Convert to fraction form
    863.66/1,191.84 = 509.58/x
  3. Step 3: Cross multiply
    863.66x = 1,191.84 × 509.58
  4. Step 4: Simplify right side
    863.66x = 607,337.83
  5. Step 5: Solve for x
    x = 607,337.83/863.66
  6. Step 6: Final answer
    x = 703.22

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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.