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Finding the Fourth Proportional to 1,034, 1,423.68 and 923.12

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Solution

The fourth proportional to 1,034, 1,423.68 and 923.12 is: 1,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034 : 1,423.68 = 923.12 : x
  2. Step 2: Convert to fraction form
    1,034/1,423.68 = 923.12/x
  3. Step 3: Cross multiply
    1,034x = 1,423.68 × 923.12
  4. Step 4: Simplify right side
    1,034x = 1,314,227.48
  5. Step 5: Solve for x
    x = 1,314,227.48/1,034
  6. Step 6: Final answer
    x = 1,271.01

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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.