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Finding the Fourth Proportional to 784.59, 1,082.79 and 435.28

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Solution

The fourth proportional to 784.59, 1,082.79 and 435.28 is: 600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.59 : 1,082.79 = 435.28 : x
  2. Step 2: Convert to fraction form
    784.59/1,082.79 = 435.28/x
  3. Step 3: Cross multiply
    784.59x = 1,082.79 × 435.28
  4. Step 4: Simplify right side
    784.59x = 471,318.18
  5. Step 5: Solve for x
    x = 471,318.18/784.59
  6. Step 6: Final answer
    x = 600.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.