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Finding the Fourth Proportional to 975.17, 1,463.25 and 564.68

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Solution

The fourth proportional to 975.17, 1,463.25 and 564.68 is: 847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.17 : 1,463.25 = 564.68 : x
  2. Step 2: Convert to fraction form
    975.17/1,463.25 = 564.68/x
  3. Step 3: Cross multiply
    975.17x = 1,463.25 × 564.68
  4. Step 4: Simplify right side
    975.17x = 826,268.01
  5. Step 5: Solve for x
    x = 826,268.01/975.17
  6. Step 6: Final answer
    x = 847.31

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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.