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Finding the Fourth Proportional to 577.98, 867.08 and 413.04

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Solution

The fourth proportional to 577.98, 867.08 and 413.04 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.98 : 867.08 = 413.04 : x
  2. Step 2: Convert to fraction form
    577.98/867.08 = 413.04/x
  3. Step 3: Cross multiply
    577.98x = 867.08 × 413.04
  4. Step 4: Simplify right side
    577.98x = 358,136.66
  5. Step 5: Solve for x
    x = 358,136.66/577.98
  6. Step 6: Final answer
    x = 619.64

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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.