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Finding the Fourth Proportional to 439.74, 603.15 and 416.25

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Solution

The fourth proportional to 439.74, 603.15 and 416.25 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.74 : 603.15 = 416.25 : x
  2. Step 2: Convert to fraction form
    439.74/603.15 = 416.25/x
  3. Step 3: Cross multiply
    439.74x = 603.15 × 416.25
  4. Step 4: Simplify right side
    439.74x = 251,061.19
  5. Step 5: Solve for x
    x = 251,061.19/439.74
  6. Step 6: Final answer
    x = 570.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.