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Finding the Fourth Proportional to 716.76, 1,075.05 and 427.50

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Solution

The fourth proportional to 716.76, 1,075.05 and 427.50 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.76 : 1,075.05 = 427.50 : x
  2. Step 2: Convert to fraction form
    716.76/1,075.05 = 427.50/x
  3. Step 3: Cross multiply
    716.76x = 1,075.05 × 427.50
  4. Step 4: Simplify right side
    716.76x = 459,583.88
  5. Step 5: Solve for x
    x = 459,583.88/716.76
  6. Step 6: Final answer
    x = 641.20

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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.