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Finding the Fourth Proportional to 863.34, 1,191.81 and 509.15

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Solution

The fourth proportional to 863.34, 1,191.81 and 509.15 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.34 : 1,191.81 = 509.15 : x
  2. Step 2: Convert to fraction form
    863.34/1,191.81 = 509.15/x
  3. Step 3: Cross multiply
    863.34x = 1,191.81 × 509.15
  4. Step 4: Simplify right side
    863.34x = 606,810.06
  5. Step 5: Solve for x
    x = 606,810.06/863.34
  6. Step 6: Final answer
    x = 702.86

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1.5x scale

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.