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Finding the Fourth Proportional to 717.08, 1,075.60 and 284.12

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Solution

The fourth proportional to 717.08, 1,075.60 and 284.12 is: 426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.08 : 1,075.60 = 284.12 : x
  2. Step 2: Convert to fraction form
    717.08/1,075.60 = 284.12/x
  3. Step 3: Cross multiply
    717.08x = 1,075.60 × 284.12
  4. Step 4: Simplify right side
    717.08x = 305,599.47
  5. Step 5: Solve for x
    x = 305,599.47/717.08
  6. Step 6: Final answer
    x = 426.17

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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.