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Finding the Fourth Proportional to 920.36, 1,269.80 and 723.24

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Solution

The fourth proportional to 920.36, 1,269.80 and 723.24 is: 997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,269.80 = 723.24 : x
  2. Step 2: Convert to fraction form
    920.36/1,269.80 = 723.24/x
  3. Step 3: Cross multiply
    920.36x = 1,269.80 × 723.24
  4. Step 4: Simplify right side
    920.36x = 918,370.15
  5. Step 5: Solve for x
    x = 918,370.15/920.36
  6. Step 6: Final answer
    x = 997.84

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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.