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Finding the Fourth Proportional to 477.18, 712.76 and 423.42

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Solution

The fourth proportional to 477.18, 712.76 and 423.42 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 712.76 = 423.42 : x
  2. Step 2: Convert to fraction form
    477.18/712.76 = 423.42/x
  3. Step 3: Cross multiply
    477.18x = 712.76 × 423.42
  4. Step 4: Simplify right side
    477.18x = 301,794.72
  5. Step 5: Solve for x
    x = 301,794.72/477.18
  6. Step 6: Final answer
    x = 632.45

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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.