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Finding the Fourth Proportional to 710.73, 1,063.62 and 490.32

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Solution

The fourth proportional to 710.73, 1,063.62 and 490.32 is: 733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.73 : 1,063.62 = 490.32 : x
  2. Step 2: Convert to fraction form
    710.73/1,063.62 = 490.32/x
  3. Step 3: Cross multiply
    710.73x = 1,063.62 × 490.32
  4. Step 4: Simplify right side
    710.73x = 521,514.16
  5. Step 5: Solve for x
    x = 521,514.16/710.73
  6. Step 6: Final answer
    x = 733.77

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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.