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Finding the Fourth Proportional to 782.63, 1,174.20 and 490.32

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Solution

The fourth proportional to 782.63, 1,174.20 and 490.32 is: 735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,174.20 = 490.32 : x
  2. Step 2: Convert to fraction form
    782.63/1,174.20 = 490.32/x
  3. Step 3: Cross multiply
    782.63x = 1,174.20 × 490.32
  4. Step 4: Simplify right side
    782.63x = 575,731.29
  5. Step 5: Solve for x
    x = 575,731.29/782.63
  6. Step 6: Final answer
    x = 735.64

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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.