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Finding the Fourth Proportional to 799.64, 1,200.27 and 619.01

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Solution

The fourth proportional to 799.64, 1,200.27 and 619.01 is: 929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.64 : 1,200.27 = 619.01 : x
  2. Step 2: Convert to fraction form
    799.64/1,200.27 = 619.01/x
  3. Step 3: Cross multiply
    799.64x = 1,200.27 × 619.01
  4. Step 4: Simplify right side
    799.64x = 742,973.13
  5. Step 5: Solve for x
    x = 742,973.13/799.64
  6. Step 6: Final answer
    x = 929.14

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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.