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Finding the Fourth Proportional to 427.08, 589.50 and 413.40

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Solution

The fourth proportional to 427.08, 589.50 and 413.40 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.08 : 589.50 = 413.40 : x
  2. Step 2: Convert to fraction form
    427.08/589.50 = 413.40/x
  3. Step 3: Cross multiply
    427.08x = 589.50 × 413.40
  4. Step 4: Simplify right side
    427.08x = 243,699.30
  5. Step 5: Solve for x
    x = 243,699.30/427.08
  6. Step 6: Final answer
    x = 570.62

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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.