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Finding the Fourth Proportional to 716.82, 1,075.38 and 424.21

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Solution

The fourth proportional to 716.82, 1,075.38 and 424.21 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.82 : 1,075.38 = 424.21 : x
  2. Step 2: Convert to fraction form
    716.82/1,075.38 = 424.21/x
  3. Step 3: Cross multiply
    716.82x = 1,075.38 × 424.21
  4. Step 4: Simplify right side
    716.82x = 456,186.95
  5. Step 5: Solve for x
    x = 456,186.95/716.82
  6. Step 6: Final answer
    x = 636.40

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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.