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Finding the Fourth Proportional to 491.50, 677.32 and 452.31

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Solution

The fourth proportional to 491.50, 677.32 and 452.31 is: 623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.50 : 677.32 = 452.31 : x
  2. Step 2: Convert to fraction form
    491.50/677.32 = 452.31/x
  3. Step 3: Cross multiply
    491.50x = 677.32 × 452.31
  4. Step 4: Simplify right side
    491.50x = 306,358.61
  5. Step 5: Solve for x
    x = 306,358.61/491.50
  6. Step 6: Final answer
    x = 623.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.