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Finding the Fourth Proportional to 507.33, 699.55 and 413.79

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Solution

The fourth proportional to 507.33, 699.55 and 413.79 is: 570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.33 : 699.55 = 413.79 : x
  2. Step 2: Convert to fraction form
    507.33/699.55 = 413.79/x
  3. Step 3: Cross multiply
    507.33x = 699.55 × 413.79
  4. Step 4: Simplify right side
    507.33x = 289,462.98
  5. Step 5: Solve for x
    x = 289,462.98/507.33
  6. Step 6: Final answer
    x = 570.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.