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Finding the Fourth Proportional to 952.80, 1,428.12 and 605.28

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Solution

The fourth proportional to 952.80, 1,428.12 and 605.28 is: 907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.80 : 1,428.12 = 605.28 : x
  2. Step 2: Convert to fraction form
    952.80/1,428.12 = 605.28/x
  3. Step 3: Cross multiply
    952.80x = 1,428.12 × 605.28
  4. Step 4: Simplify right side
    952.80x = 864,412.47
  5. Step 5: Solve for x
    x = 864,412.47/952.80
  6. Step 6: Final answer
    x = 907.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.