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Finding the Fourth Proportional to 944.64, 1,414.08 and 619.20

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Solution

The fourth proportional to 944.64, 1,414.08 and 619.20 is: 926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.64 : 1,414.08 = 619.20 : x
  2. Step 2: Convert to fraction form
    944.64/1,414.08 = 619.20/x
  3. Step 3: Cross multiply
    944.64x = 1,414.08 × 619.20
  4. Step 4: Simplify right side
    944.64x = 875,598.34
  5. Step 5: Solve for x
    x = 875,598.34/944.64
  6. Step 6: Final answer
    x = 926.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.