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Finding the Fourth Proportional to 654.88, 983.52 and 628.78

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Solution

The fourth proportional to 654.88, 983.52 and 628.78 is: 944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.88 : 983.52 = 628.78 : x
  2. Step 2: Convert to fraction form
    654.88/983.52 = 628.78/x
  3. Step 3: Cross multiply
    654.88x = 983.52 × 628.78
  4. Step 4: Simplify right side
    654.88x = 618,417.71
  5. Step 5: Solve for x
    x = 618,417.71/654.88
  6. Step 6: Final answer
    x = 944.32

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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.