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Finding the Fourth Proportional to 477.72, 712.64 and 444.57

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Solution

The fourth proportional to 477.72, 712.64 and 444.57 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.72 : 712.64 = 444.57 : x
  2. Step 2: Convert to fraction form
    477.72/712.64 = 444.57/x
  3. Step 3: Cross multiply
    477.72x = 712.64 × 444.57
  4. Step 4: Simplify right side
    477.72x = 316,816.14
  5. Step 5: Solve for x
    x = 316,816.14/477.72
  6. Step 6: Final answer
    x = 663.18

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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.