Home / 1,322.08-1,984.24-542.50

Finding the Fourth Proportional to 1,322.08, 1,984.24 and 542.50

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Solution

The fourth proportional to 1,322.08, 1,984.24 and 542.50 is: 814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.08 : 1,984.24 = 542.50 : x
  2. Step 2: Convert to fraction form
    1,322.08/1,984.24 = 542.50/x
  3. Step 3: Cross multiply
    1,322.08x = 1,984.24 × 542.50
  4. Step 4: Simplify right side
    1,322.08x = 1,076,450.20
  5. Step 5: Solve for x
    x = 1,076,450.20/1,322.08
  6. Step 6: Final answer
    x = 814.21

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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.