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Finding the Fourth Proportional to 495.85, 744.59 and 387.31

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Solution

The fourth proportional to 495.85, 744.59 and 387.31 is: 581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.85 : 744.59 = 387.31 : x
  2. Step 2: Convert to fraction form
    495.85/744.59 = 387.31/x
  3. Step 3: Cross multiply
    495.85x = 744.59 × 387.31
  4. Step 4: Simplify right side
    495.85x = 288,385.22
  5. Step 5: Solve for x
    x = 288,385.22/495.85
  6. Step 6: Final answer
    x = 581.60

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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.