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Finding the Fourth Proportional to 424.90, 585.93 and 378.19

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Solution

The fourth proportional to 424.90, 585.93 and 378.19 is: 521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.90 : 585.93 = 378.19 : x
  2. Step 2: Convert to fraction form
    424.90/585.93 = 378.19/x
  3. Step 3: Cross multiply
    424.90x = 585.93 × 378.19
  4. Step 4: Simplify right side
    424.90x = 221,592.87
  5. Step 5: Solve for x
    x = 221,592.87/424.90
  6. Step 6: Final answer
    x = 521.52

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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.