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Finding the Fourth Proportional to 748.55, 1,033.16 and 486.11

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Solution

The fourth proportional to 748.55, 1,033.16 and 486.11 is: 670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.55 : 1,033.16 = 486.11 : x
  2. Step 2: Convert to fraction form
    748.55/1,033.16 = 486.11/x
  3. Step 3: Cross multiply
    748.55x = 1,033.16 × 486.11
  4. Step 4: Simplify right side
    748.55x = 502,224.24
  5. Step 5: Solve for x
    x = 502,224.24/748.55
  6. Step 6: Final answer
    x = 670.93

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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.