Home / 1,542.02-2,312.06-720.45

Finding the Fourth Proportional to 1,542.02, 2,312.06 and 720.45

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Solution

The fourth proportional to 1,542.02, 2,312.06 and 720.45 is: 1,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.02 : 2,312.06 = 720.45 : x
  2. Step 2: Convert to fraction form
    1,542.02/2,312.06 = 720.45/x
  3. Step 3: Cross multiply
    1,542.02x = 2,312.06 × 720.45
  4. Step 4: Simplify right side
    1,542.02x = 1,665,720.02
  5. Step 5: Solve for x
    x = 1,665,720.02/1,542.02
  6. Step 6: Final answer
    x = 1,080.22

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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.