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Finding the Fourth Proportional to 654.36, 974.40 and 631.02

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Solution

The fourth proportional to 654.36, 974.40 and 631.02 is: 939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.36 : 974.40 = 631.02 : x
  2. Step 2: Convert to fraction form
    654.36/974.40 = 631.02/x
  3. Step 3: Cross multiply
    654.36x = 974.40 × 631.02
  4. Step 4: Simplify right side
    654.36x = 614,865.89
  5. Step 5: Solve for x
    x = 614,865.89/654.36
  6. Step 6: Final answer
    x = 939.64

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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.