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Finding the Fourth Proportional to 654.52, 983.54 and 613

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Solution

The fourth proportional to 654.52, 983.54 and 613 is: 921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 983.54 = 613 : x
  2. Step 2: Convert to fraction form
    654.52/983.54 = 613/x
  3. Step 3: Cross multiply
    654.52x = 983.54 × 613
  4. Step 4: Simplify right side
    654.52x = 602,910.02
  5. Step 5: Solve for x
    x = 602,910.02/654.52
  6. Step 6: Final answer
    x = 921.15

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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.