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Finding the Fourth Proportional to 975.11, 1,462.73 and 564.28

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Solution

The fourth proportional to 975.11, 1,462.73 and 564.28 is: 846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.11 : 1,462.73 = 564.28 : x
  2. Step 2: Convert to fraction form
    975.11/1,462.73 = 564.28/x
  3. Step 3: Cross multiply
    975.11x = 1,462.73 × 564.28
  4. Step 4: Simplify right side
    975.11x = 825,382.81
  5. Step 5: Solve for x
    x = 825,382.81/975.11
  6. Step 6: Final answer
    x = 846.46

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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.