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Finding the Fourth Proportional to 863.09, 1,191.45 and 653.30

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Solution

The fourth proportional to 863.09, 1,191.45 and 653.30 is: 901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.09 : 1,191.45 = 653.30 : x
  2. Step 2: Convert to fraction form
    863.09/1,191.45 = 653.30/x
  3. Step 3: Cross multiply
    863.09x = 1,191.45 × 653.30
  4. Step 4: Simplify right side
    863.09x = 778,374.29
  5. Step 5: Solve for x
    x = 778,374.29/863.09
  6. Step 6: Final answer
    x = 901.85

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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.