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Finding the Fourth Proportional to 564.08, 846.75 and 275.72

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Solution

The fourth proportional to 564.08, 846.75 and 275.72 is: 413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 846.75 = 275.72 : x
  2. Step 2: Convert to fraction form
    564.08/846.75 = 275.72/x
  3. Step 3: Cross multiply
    564.08x = 846.75 × 275.72
  4. Step 4: Simplify right side
    564.08x = 233,465.91
  5. Step 5: Solve for x
    x = 233,465.91/564.08
  6. Step 6: Final answer
    x = 413.89

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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.