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Finding the Fourth Proportional to 716.81, 1,075.21 and 284.27

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Solution

The fourth proportional to 716.81, 1,075.21 and 284.27 is: 426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.81 : 1,075.21 = 284.27 : x
  2. Step 2: Convert to fraction form
    716.81/1,075.21 = 284.27/x
  3. Step 3: Cross multiply
    716.81x = 1,075.21 × 284.27
  4. Step 4: Simplify right side
    716.81x = 305,643.86
  5. Step 5: Solve for x
    x = 305,643.86/716.81
  6. Step 6: Final answer
    x = 426.40

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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.