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Finding the Fourth Proportional to 563.34, 775.83 and 537.42

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Solution

The fourth proportional to 563.34, 775.83 and 537.42 is: 740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.34 : 775.83 = 537.42 : x
  2. Step 2: Convert to fraction form
    563.34/775.83 = 537.42/x
  3. Step 3: Cross multiply
    563.34x = 775.83 × 537.42
  4. Step 4: Simplify right side
    563.34x = 416,946.56
  5. Step 5: Solve for x
    x = 416,946.56/563.34
  6. Step 6: Final answer
    x = 740.13

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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.