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Finding the Fourth Proportional to 495.60, 744.21 and 387.06

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Solution

The fourth proportional to 495.60, 744.21 and 387.06 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.60 : 744.21 = 387.06 : x
  2. Step 2: Convert to fraction form
    495.60/744.21 = 387.06/x
  3. Step 3: Cross multiply
    495.60x = 744.21 × 387.06
  4. Step 4: Simplify right side
    495.60x = 288,053.92
  5. Step 5: Solve for x
    x = 288,053.92/495.60
  6. Step 6: Final answer
    x = 581.22

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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.