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Finding the Fourth Proportional to 738.48, 1,016.54 and 655.44

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Solution

The fourth proportional to 738.48, 1,016.54 and 655.44 is: 902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.48 : 1,016.54 = 655.44 : x
  2. Step 2: Convert to fraction form
    738.48/1,016.54 = 655.44/x
  3. Step 3: Cross multiply
    738.48x = 1,016.54 × 655.44
  4. Step 4: Simplify right side
    738.48x = 666,280.98
  5. Step 5: Solve for x
    x = 666,280.98/738.48
  6. Step 6: Final answer
    x = 902.23

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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.