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Finding the Fourth Proportional to 564.48, 775.38 and 548.08

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Solution

The fourth proportional to 564.48, 775.38 and 548.08 is: 752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 775.38 = 548.08 : x
  2. Step 2: Convert to fraction form
    564.48/775.38 = 548.08/x
  3. Step 3: Cross multiply
    564.48x = 775.38 × 548.08
  4. Step 4: Simplify right side
    564.48x = 424,970.27
  5. Step 5: Solve for x
    x = 424,970.27/564.48
  6. Step 6: Final answer
    x = 752.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.