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Finding the Fourth Proportional to 623.10, 859.44 and 413.16

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Solution

The fourth proportional to 623.10, 859.44 and 413.16 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.10 : 859.44 = 413.16 : x
  2. Step 2: Convert to fraction form
    623.10/859.44 = 413.16/x
  3. Step 3: Cross multiply
    623.10x = 859.44 × 413.16
  4. Step 4: Simplify right side
    623.10x = 355,086.23
  5. Step 5: Solve for x
    x = 355,086.23/623.10
  6. Step 6: Final answer
    x = 569.87

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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.