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Finding the Fourth Proportional to 564.48, 842.22 and 560.16

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Solution

The fourth proportional to 564.48, 842.22 and 560.16 is: 835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 842.22 = 560.16 : x
  2. Step 2: Convert to fraction form
    564.48/842.22 = 560.16/x
  3. Step 3: Cross multiply
    564.48x = 842.22 × 560.16
  4. Step 4: Simplify right side
    564.48x = 471,777.96
  5. Step 5: Solve for x
    x = 471,777.96/564.48
  6. Step 6: Final answer
    x = 835.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.