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Finding the Fourth Proportional to 413.27, 570.24 and 324.77

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Solution

The fourth proportional to 413.27, 570.24 and 324.77 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.27 : 570.24 = 324.77 : x
  2. Step 2: Convert to fraction form
    413.27/570.24 = 324.77/x
  3. Step 3: Cross multiply
    413.27x = 570.24 × 324.77
  4. Step 4: Simplify right side
    413.27x = 185,193.99
  5. Step 5: Solve for x
    x = 185,193.99/413.27
  6. Step 6: Final answer
    x = 448.12

Related Problems

Find fourth proportional to 206.63, 285.12 and 162.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

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.