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Finding the Fourth Proportional to 926.30, 1,277.92 and 533.11

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Solution

The fourth proportional to 926.30, 1,277.92 and 533.11 is: 735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.30 : 1,277.92 = 533.11 : x
  2. Step 2: Convert to fraction form
    926.30/1,277.92 = 533.11/x
  3. Step 3: Cross multiply
    926.30x = 1,277.92 × 533.11
  4. Step 4: Simplify right side
    926.30x = 681,271.93
  5. Step 5: Solve for x
    x = 681,271.93/926.30
  6. Step 6: Final answer
    x = 735.48

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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.