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Finding the Fourth Proportional to 426.18, 583.07 and 424.36

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Solution

The fourth proportional to 426.18, 583.07 and 424.36 is: 580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.18 : 583.07 = 424.36 : x
  2. Step 2: Convert to fraction form
    426.18/583.07 = 424.36/x
  3. Step 3: Cross multiply
    426.18x = 583.07 × 424.36
  4. Step 4: Simplify right side
    426.18x = 247,431.59
  5. Step 5: Solve for x
    x = 247,431.59/426.18
  6. Step 6: Final answer
    x = 580.58

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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.