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Finding the Fourth Proportional to 719.01, 1,075.68 and 444.69

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Solution

The fourth proportional to 719.01, 1,075.68 and 444.69 is: 665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.01 : 1,075.68 = 444.69 : x
  2. Step 2: Convert to fraction form
    719.01/1,075.68 = 444.69/x
  3. Step 3: Cross multiply
    719.01x = 1,075.68 × 444.69
  4. Step 4: Simplify right side
    719.01x = 478,344.14
  5. Step 5: Solve for x
    x = 478,344.14/719.01
  6. Step 6: Final answer
    x = 665.28

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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.