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Finding the Fourth Proportional to 921.96, 1,272.30 and 502.31

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Solution

The fourth proportional to 921.96, 1,272.30 and 502.31 is: 693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.96 : 1,272.30 = 502.31 : x
  2. Step 2: Convert to fraction form
    921.96/1,272.30 = 502.31/x
  3. Step 3: Cross multiply
    921.96x = 1,272.30 × 502.31
  4. Step 4: Simplify right side
    921.96x = 639,089.01
  5. Step 5: Solve for x
    x = 639,089.01/921.96
  6. Step 6: Final answer
    x = 693.19

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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.