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Finding the Fourth Proportional to 586.81, 880.42 and 413.07

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Solution

The fourth proportional to 586.81, 880.42 and 413.07 is: 619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.81 : 880.42 = 413.07 : x
  2. Step 2: Convert to fraction form
    586.81/880.42 = 413.07/x
  3. Step 3: Cross multiply
    586.81x = 880.42 × 413.07
  4. Step 4: Simplify right side
    586.81x = 363,675.09
  5. Step 5: Solve for x
    x = 363,675.09/586.81
  6. Step 6: Final answer
    x = 619.75

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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.