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Finding the Fourth Proportional to 921.47, 1,271.36 and 724.37

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Solution

The fourth proportional to 921.47, 1,271.36 and 724.37 is: 999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.47 : 1,271.36 = 724.37 : x
  2. Step 2: Convert to fraction form
    921.47/1,271.36 = 724.37/x
  3. Step 3: Cross multiply
    921.47x = 1,271.36 × 724.37
  4. Step 4: Simplify right side
    921.47x = 920,930.50
  5. Step 5: Solve for x
    x = 920,930.50/921.47
  6. Step 6: Final answer
    x = 999.42

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1.5x scale

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.