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Finding the Fourth Proportional to 716.59, 1,075.64 and 409.05

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Solution

The fourth proportional to 716.59, 1,075.64 and 409.05 is: 614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.59 : 1,075.64 = 409.05 : x
  2. Step 2: Convert to fraction form
    716.59/1,075.64 = 409.05/x
  3. Step 3: Cross multiply
    716.59x = 1,075.64 × 409.05
  4. Step 4: Simplify right side
    716.59x = 439,990.54
  5. Step 5: Solve for x
    x = 439,990.54/716.59
  6. Step 6: Final answer
    x = 614.01

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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.