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Finding the Fourth Proportional to 763.12, 1,052.35 and 563.61

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Solution

The fourth proportional to 763.12, 1,052.35 and 563.61 is: 777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.12 : 1,052.35 = 563.61 : x
  2. Step 2: Convert to fraction form
    763.12/1,052.35 = 563.61/x
  3. Step 3: Cross multiply
    763.12x = 1,052.35 × 563.61
  4. Step 4: Simplify right side
    763.12x = 593,114.98
  5. Step 5: Solve for x
    x = 593,114.98/763.12
  6. Step 6: Final answer
    x = 777.22

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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.