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Finding the Fourth Proportional to 575.01, 865.89 and 413.82

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Solution

The fourth proportional to 575.01, 865.89 and 413.82 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.01 : 865.89 = 413.82 : x
  2. Step 2: Convert to fraction form
    575.01/865.89 = 413.82/x
  3. Step 3: Cross multiply
    575.01x = 865.89 × 413.82
  4. Step 4: Simplify right side
    575.01x = 358,322.60
  5. Step 5: Solve for x
    x = 358,322.60/575.01
  6. Step 6: Final answer
    x = 623.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.