Home / 1,408.02-2,112.63-542.13

Finding the Fourth Proportional to 1,408.02, 2,112.63 and 542.13

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Solution

The fourth proportional to 1,408.02, 2,112.63 and 542.13 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.02 : 2,112.63 = 542.13 : x
  2. Step 2: Convert to fraction form
    1,408.02/2,112.63 = 542.13/x
  3. Step 3: Cross multiply
    1,408.02x = 2,112.63 × 542.13
  4. Step 4: Simplify right side
    1,408.02x = 1,145,320.10
  5. Step 5: Solve for x
    x = 1,145,320.10/1,408.02
  6. Step 6: Final answer
    x = 813.43

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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.