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Finding the Fourth Proportional to 748.02, 1,122.02 and 315.07

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Solution

The fourth proportional to 748.02, 1,122.02 and 315.07 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.02 : 1,122.02 = 315.07 : x
  2. Step 2: Convert to fraction form
    748.02/1,122.02 = 315.07/x
  3. Step 3: Cross multiply
    748.02x = 1,122.02 × 315.07
  4. Step 4: Simplify right side
    748.02x = 353,514.84
  5. Step 5: Solve for x
    x = 353,514.84/748.02
  6. Step 6: Final answer
    x = 472.60

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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.