Home / 1,150.02-1,724.05-457.18

Finding the Fourth Proportional to 1,150.02, 1,724.05 and 457.18

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Solution

The fourth proportional to 1,150.02, 1,724.05 and 457.18 is: 685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.02 : 1,724.05 = 457.18 : x
  2. Step 2: Convert to fraction form
    1,150.02/1,724.05 = 457.18/x
  3. Step 3: Cross multiply
    1,150.02x = 1,724.05 × 457.18
  4. Step 4: Simplify right side
    1,150.02x = 788,192.56
  5. Step 5: Solve for x
    x = 788,192.56/1,150.02
  6. Step 6: Final answer
    x = 685.37

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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.