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Finding the Fourth Proportional to 767.20, 1,058.88 and 533.92

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Solution

The fourth proportional to 767.20, 1,058.88 and 533.92 is: 736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.20 : 1,058.88 = 533.92 : x
  2. Step 2: Convert to fraction form
    767.20/1,058.88 = 533.92/x
  3. Step 3: Cross multiply
    767.20x = 1,058.88 × 533.92
  4. Step 4: Simplify right side
    767.20x = 565,357.21
  5. Step 5: Solve for x
    x = 565,357.21/767.20
  6. Step 6: Final answer
    x = 736.91

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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.