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Finding the Fourth Proportional to 654.79, 975.81 and 635.02

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Solution

The fourth proportional to 654.79, 975.81 and 635.02 is: 946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.79 : 975.81 = 635.02 : x
  2. Step 2: Convert to fraction form
    654.79/975.81 = 635.02/x
  3. Step 3: Cross multiply
    654.79x = 975.81 × 635.02
  4. Step 4: Simplify right side
    654.79x = 619,658.87
  5. Step 5: Solve for x
    x = 619,658.87/654.79
  6. Step 6: Final answer
    x = 946.35

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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.