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Finding the Fourth Proportional to 654.91, 983.88 and 424.26

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Solution

The fourth proportional to 654.91, 983.88 and 424.26 is: 637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.91 : 983.88 = 424.26 : x
  2. Step 2: Convert to fraction form
    654.91/983.88 = 424.26/x
  3. Step 3: Cross multiply
    654.91x = 983.88 × 424.26
  4. Step 4: Simplify right side
    654.91x = 417,420.93
  5. Step 5: Solve for x
    x = 417,420.93/654.91
  6. Step 6: Final answer
    x = 637.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.