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Finding the Fourth Proportional to 477.69, 712.78 and 423.01

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Solution

The fourth proportional to 477.69, 712.78 and 423.01 is: 631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 712.78 = 423.01 : x
  2. Step 2: Convert to fraction form
    477.69/712.78 = 423.01/x
  3. Step 3: Cross multiply
    477.69x = 712.78 × 423.01
  4. Step 4: Simplify right side
    477.69x = 301,513.07
  5. Step 5: Solve for x
    x = 301,513.07/477.69
  6. Step 6: Final answer
    x = 631.19

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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.