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Finding the Fourth Proportional to 939.56, 1,409.57 and 477.18

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Solution

The fourth proportional to 939.56, 1,409.57 and 477.18 is: 715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.56 : 1,409.57 = 477.18 : x
  2. Step 2: Convert to fraction form
    939.56/1,409.57 = 477.18/x
  3. Step 3: Cross multiply
    939.56x = 1,409.57 × 477.18
  4. Step 4: Simplify right side
    939.56x = 672,616.23
  5. Step 5: Solve for x
    x = 672,616.23/939.56
  6. Step 6: Final answer
    x = 715.89

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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.