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Finding the Fourth Proportional to 738.68, 1,106.22 and 353

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Solution

The fourth proportional to 738.68, 1,106.22 and 353 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.68 : 1,106.22 = 353 : x
  2. Step 2: Convert to fraction form
    738.68/1,106.22 = 353/x
  3. Step 3: Cross multiply
    738.68x = 1,106.22 × 353
  4. Step 4: Simplify right side
    738.68x = 390,495.66
  5. Step 5: Solve for x
    x = 390,495.66/738.68
  6. Step 6: Final answer
    x = 528.64

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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.