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Finding the Fourth Proportional to 403.74, 602.71 and 387.54

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Solution

The fourth proportional to 403.74, 602.71 and 387.54 is: 578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.74 : 602.71 = 387.54 : x
  2. Step 2: Convert to fraction form
    403.74/602.71 = 387.54/x
  3. Step 3: Cross multiply
    403.74x = 602.71 × 387.54
  4. Step 4: Simplify right side
    403.74x = 233,572.30
  5. Step 5: Solve for x
    x = 233,572.30/403.74
  6. Step 6: Final answer
    x = 578.52

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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.