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Finding the Fourth Proportional to 921.63, 1,271.56 and 572.12

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Solution

The fourth proportional to 921.63, 1,271.56 and 572.12 is: 789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.63 : 1,271.56 = 572.12 : x
  2. Step 2: Convert to fraction form
    921.63/1,271.56 = 572.12/x
  3. Step 3: Cross multiply
    921.63x = 1,271.56 × 572.12
  4. Step 4: Simplify right side
    921.63x = 727,484.91
  5. Step 5: Solve for x
    x = 727,484.91/921.63
  6. Step 6: Final answer
    x = 789.35

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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.