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Finding the Fourth Proportional to 424.51, 588.94 and 420.46

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Solution

The fourth proportional to 424.51, 588.94 and 420.46 is: 583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.51 : 588.94 = 420.46 : x
  2. Step 2: Convert to fraction form
    424.51/588.94 = 420.46/x
  3. Step 3: Cross multiply
    424.51x = 588.94 × 420.46
  4. Step 4: Simplify right side
    424.51x = 247,623.19
  5. Step 5: Solve for x
    x = 247,623.19/424.51
  6. Step 6: Final answer
    x = 583.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.