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Finding the Fourth Proportional to 695.31, 1,042.16 and 309.75

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Solution

The fourth proportional to 695.31, 1,042.16 and 309.75 is: 464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.31 : 1,042.16 = 309.75 : x
  2. Step 2: Convert to fraction form
    695.31/1,042.16 = 309.75/x
  3. Step 3: Cross multiply
    695.31x = 1,042.16 × 309.75
  4. Step 4: Simplify right side
    695.31x = 322,807.51
  5. Step 5: Solve for x
    x = 322,807.51/695.31
  6. Step 6: Final answer
    x = 464.26

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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.