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Finding the Fourth Proportional to 952.77, 1,423.82 and 900.12

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Solution

The fourth proportional to 952.77, 1,423.82 and 900.12 is: 1,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.77 : 1,423.82 = 900.12 : x
  2. Step 2: Convert to fraction form
    952.77/1,423.82 = 900.12/x
  3. Step 3: Cross multiply
    952.77x = 1,423.82 × 900.12
  4. Step 4: Simplify right side
    952.77x = 1,281,604.36
  5. Step 5: Solve for x
    x = 1,281,604.36/952.77
  6. Step 6: Final answer
    x = 1,345.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.