Home / 1,534.23-2,301.56-493.99

Finding the Fourth Proportional to 1,534.23, 2,301.56 and 493.99

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Solution

The fourth proportional to 1,534.23, 2,301.56 and 493.99 is: 741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.23 : 2,301.56 = 493.99 : x
  2. Step 2: Convert to fraction form
    1,534.23/2,301.56 = 493.99/x
  3. Step 3: Cross multiply
    1,534.23x = 2,301.56 × 493.99
  4. Step 4: Simplify right side
    1,534.23x = 1,136,947.62
  5. Step 5: Solve for x
    x = 1,136,947.62/1,534.23
  6. Step 6: Final answer
    x = 741.05

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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.