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Finding the Fourth Proportional to 863.31, 1,191.30 and 509.19

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Solution

The fourth proportional to 863.31, 1,191.30 and 509.19 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.31 : 1,191.30 = 509.19 : x
  2. Step 2: Convert to fraction form
    863.31/1,191.30 = 509.19/x
  3. Step 3: Cross multiply
    863.31x = 1,191.30 × 509.19
  4. Step 4: Simplify right side
    863.31x = 606,598.05
  5. Step 5: Solve for x
    x = 606,598.05/863.31
  6. Step 6: Final answer
    x = 702.64

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Double scale
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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.