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Finding the Fourth Proportional to 477.40, 712.64 and 443.64

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Solution

The fourth proportional to 477.40, 712.64 and 443.64 is: 662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 712.64 = 443.64 : x
  2. Step 2: Convert to fraction form
    477.40/712.64 = 443.64/x
  3. Step 3: Cross multiply
    477.40x = 712.64 × 443.64
  4. Step 4: Simplify right side
    477.40x = 316,155.61
  5. Step 5: Solve for x
    x = 316,155.61/477.40
  6. Step 6: Final answer
    x = 662.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.