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Finding the Fourth Proportional to 424.07, 585.66 and 378.26

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Solution

The fourth proportional to 424.07, 585.66 and 378.26 is: 522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.07 : 585.66 = 378.26 : x
  2. Step 2: Convert to fraction form
    424.07/585.66 = 378.26/x
  3. Step 3: Cross multiply
    424.07x = 585.66 × 378.26
  4. Step 4: Simplify right side
    424.07x = 221,528.82
  5. Step 5: Solve for x
    x = 221,528.82/424.07
  6. Step 6: Final answer
    x = 522.39

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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.