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Finding the Fourth Proportional to 738.21, 1,106.28 and 583.46

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Solution

The fourth proportional to 738.21, 1,106.28 and 583.46 is: 874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.21 : 1,106.28 = 583.46 : x
  2. Step 2: Convert to fraction form
    738.21/1,106.28 = 583.46/x
  3. Step 3: Cross multiply
    738.21x = 1,106.28 × 583.46
  4. Step 4: Simplify right side
    738.21x = 645,470.13
  5. Step 5: Solve for x
    x = 645,470.13/738.21
  6. Step 6: Final answer
    x = 874.37

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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.