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Finding the Fourth Proportional to 564.86, 842.10 and 521.12

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Solution

The fourth proportional to 564.86, 842.10 and 521.12 is: 776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.86 : 842.10 = 521.12 : x
  2. Step 2: Convert to fraction form
    564.86/842.10 = 521.12/x
  3. Step 3: Cross multiply
    564.86x = 842.10 × 521.12
  4. Step 4: Simplify right side
    564.86x = 438,830.94
  5. Step 5: Solve for x
    x = 438,830.94/564.86
  6. Step 6: Final answer
    x = 776.89

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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.