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Finding the Fourth Proportional to 1,534.90, 2,302.53 and 494.56

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Solution

The fourth proportional to 1,534.90, 2,302.53 and 494.56 is: 741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.90 : 2,302.53 = 494.56 : x
  2. Step 2: Convert to fraction form
    1,534.90/2,302.53 = 494.56/x
  3. Step 3: Cross multiply
    1,534.90x = 2,302.53 × 494.56
  4. Step 4: Simplify right side
    1,534.90x = 1,138,739.24
  5. Step 5: Solve for x
    x = 1,138,739.24/1,534.90
  6. Step 6: Final answer
    x = 741.90

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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.