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Finding the Fourth Proportional to 923.16, 1,272.64 and 757.12

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Solution

The fourth proportional to 923.16, 1,272.64 and 757.12 is: 1,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.16 : 1,272.64 = 757.12 : x
  2. Step 2: Convert to fraction form
    923.16/1,272.64 = 757.12/x
  3. Step 3: Cross multiply
    923.16x = 1,272.64 × 757.12
  4. Step 4: Simplify right side
    923.16x = 963,541.20
  5. Step 5: Solve for x
    x = 963,541.20/923.16
  6. Step 6: Final answer
    x = 1,043.74

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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.