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Finding the Fourth Proportional to 748.77, 1,031.69 and 538.26

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Solution

The fourth proportional to 748.77, 1,031.69 and 538.26 is: 741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.77 : 1,031.69 = 538.26 : x
  2. Step 2: Convert to fraction form
    748.77/1,031.69 = 538.26/x
  3. Step 3: Cross multiply
    748.77x = 1,031.69 × 538.26
  4. Step 4: Simplify right side
    748.77x = 555,317.46
  5. Step 5: Solve for x
    x = 555,317.46/748.77
  6. Step 6: Final answer
    x = 741.64

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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.