Home / 1,322.17-1,983.24-542.53

Finding the Fourth Proportional to 1,322.17, 1,983.24 and 542.53

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Solution

The fourth proportional to 1,322.17, 1,983.24 and 542.53 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.17 : 1,983.24 = 542.53 : x
  2. Step 2: Convert to fraction form
    1,322.17/1,983.24 = 542.53/x
  3. Step 3: Cross multiply
    1,322.17x = 1,983.24 × 542.53
  4. Step 4: Simplify right side
    1,322.17x = 1,075,967.20
  5. Step 5: Solve for x
    x = 1,075,967.20/1,322.17
  6. Step 6: Final answer
    x = 813.79

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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.