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Finding the Fourth Proportional to 921.22, 1,271.31 and 528.16

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Solution

The fourth proportional to 921.22, 1,271.31 and 528.16 is: 728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.22 : 1,271.31 = 528.16 : x
  2. Step 2: Convert to fraction form
    921.22/1,271.31 = 528.16/x
  3. Step 3: Cross multiply
    921.22x = 1,271.31 × 528.16
  4. Step 4: Simplify right side
    921.22x = 671,455.09
  5. Step 5: Solve for x
    x = 671,455.09/921.22
  6. Step 6: Final answer
    x = 728.88

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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.