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Finding the Fourth Proportional to 863.70, 1,191.90 and 509.63

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Solution

The fourth proportional to 863.70, 1,191.90 and 509.63 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.70 : 1,191.90 = 509.63 : x
  2. Step 2: Convert to fraction form
    863.70/1,191.90 = 509.63/x
  3. Step 3: Cross multiply
    863.70x = 1,191.90 × 509.63
  4. Step 4: Simplify right side
    863.70x = 607,423.23
  5. Step 5: Solve for x
    x = 607,423.23/863.70
  6. Step 6: Final answer
    x = 703.28

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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.