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Finding the Fourth Proportional to 738.27, 1,017.90 and 655.20

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Solution

The fourth proportional to 738.27, 1,017.90 and 655.20 is: 903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.27 : 1,017.90 = 655.20 : x
  2. Step 2: Convert to fraction form
    738.27/1,017.90 = 655.20/x
  3. Step 3: Cross multiply
    738.27x = 1,017.90 × 655.20
  4. Step 4: Simplify right side
    738.27x = 666,928.08
  5. Step 5: Solve for x
    x = 666,928.08/738.27
  6. Step 6: Final answer
    x = 903.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.