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Finding the Fourth Proportional to 564.34, 846.51 and 275.98

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Solution

The fourth proportional to 564.34, 846.51 and 275.98 is: 413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.34 : 846.51 = 275.98 : x
  2. Step 2: Convert to fraction form
    564.34/846.51 = 275.98/x
  3. Step 3: Cross multiply
    564.34x = 846.51 × 275.98
  4. Step 4: Simplify right side
    564.34x = 233,619.83
  5. Step 5: Solve for x
    x = 233,619.83/564.34
  6. Step 6: Final answer
    x = 413.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.