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Finding the Fourth Proportional to 654.52, 978.05 and 639.94

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Solution

The fourth proportional to 654.52, 978.05 and 639.94 is: 956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 978.05 = 639.94 : x
  2. Step 2: Convert to fraction form
    654.52/978.05 = 639.94/x
  3. Step 3: Cross multiply
    654.52x = 978.05 × 639.94
  4. Step 4: Simplify right side
    654.52x = 625,893.32
  5. Step 5: Solve for x
    x = 625,893.32/654.52
  6. Step 6: Final answer
    x = 956.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.