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Finding the Fourth Proportional to 738.80, 1,108.40 and 522.80

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Solution

The fourth proportional to 738.80, 1,108.40 and 522.80 is: 784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.80 : 1,108.40 = 522.80 : x
  2. Step 2: Convert to fraction form
    738.80/1,108.40 = 522.80/x
  3. Step 3: Cross multiply
    738.80x = 1,108.40 × 522.80
  4. Step 4: Simplify right side
    738.80x = 579,471.52
  5. Step 5: Solve for x
    x = 579,471.52/738.80
  6. Step 6: Final answer
    x = 784.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.