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Finding the Fourth Proportional to 718.34, 1,075.62 and 393.26

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Solution

The fourth proportional to 718.34, 1,075.62 and 393.26 is: 588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.34 : 1,075.62 = 393.26 : x
  2. Step 2: Convert to fraction form
    718.34/1,075.62 = 393.26/x
  3. Step 3: Cross multiply
    718.34x = 1,075.62 × 393.26
  4. Step 4: Simplify right side
    718.34x = 422,998.32
  5. Step 5: Solve for x
    x = 422,998.32/718.34
  6. Step 6: Final answer
    x = 588.86

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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.