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Finding the Fourth Proportional to 584.55, 803.08 and 473.69

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Solution

The fourth proportional to 584.55, 803.08 and 473.69 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.55 : 803.08 = 473.69 : x
  2. Step 2: Convert to fraction form
    584.55/803.08 = 473.69/x
  3. Step 3: Cross multiply
    584.55x = 803.08 × 473.69
  4. Step 4: Simplify right side
    584.55x = 380,413.57
  5. Step 5: Solve for x
    x = 380,413.57/584.55
  6. Step 6: Final answer
    x = 650.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.