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Finding the Fourth Proportional to 564.35, 842.24 and 549.77

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Solution

The fourth proportional to 564.35, 842.24 and 549.77 is: 820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.35 : 842.24 = 549.77 : x
  2. Step 2: Convert to fraction form
    564.35/842.24 = 549.77/x
  3. Step 3: Cross multiply
    564.35x = 842.24 × 549.77
  4. Step 4: Simplify right side
    564.35x = 463,035.45
  5. Step 5: Solve for x
    x = 463,035.45/564.35
  6. Step 6: Final answer
    x = 820.48

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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.