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Finding the Fourth Proportional to 654.44, 985.20 and 597.95

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Solution

The fourth proportional to 654.44, 985.20 and 597.95 is: 900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 985.20 = 597.95 : x
  2. Step 2: Convert to fraction form
    654.44/985.20 = 597.95/x
  3. Step 3: Cross multiply
    654.44x = 985.20 × 597.95
  4. Step 4: Simplify right side
    654.44x = 589,092.42
  5. Step 5: Solve for x
    x = 589,092.42/654.44
  6. Step 6: Final answer
    x = 900.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.