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Finding the Fourth Proportional to 863.68, 1,191.51 and 553

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Solution

The fourth proportional to 863.68, 1,191.51 and 553 is: 762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.68 : 1,191.51 = 553 : x
  2. Step 2: Convert to fraction form
    863.68/1,191.51 = 553/x
  3. Step 3: Cross multiply
    863.68x = 1,191.51 × 553
  4. Step 4: Simplify right side
    863.68x = 658,905.03
  5. Step 5: Solve for x
    x = 658,905.03/863.68
  6. Step 6: Final answer
    x = 762.90

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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.