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Finding the Fourth Proportional to 477.54, 714.69 and 386.46

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Solution

The fourth proportional to 477.54, 714.69 and 386.46 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.54 : 714.69 = 386.46 : x
  2. Step 2: Convert to fraction form
    477.54/714.69 = 386.46/x
  3. Step 3: Cross multiply
    477.54x = 714.69 × 386.46
  4. Step 4: Simplify right side
    477.54x = 276,199.10
  5. Step 5: Solve for x
    x = 276,199.10/477.54
  6. Step 6: Final answer
    x = 578.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.