Home / 1,323.15-1,984.69-542.58

Finding the Fourth Proportional to 1,323.15, 1,984.69 and 542.58

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Solution

The fourth proportional to 1,323.15, 1,984.69 and 542.58 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.15 : 1,984.69 = 542.58 : x
  2. Step 2: Convert to fraction form
    1,323.15/1,984.69 = 542.58/x
  3. Step 3: Cross multiply
    1,323.15x = 1,984.69 × 542.58
  4. Step 4: Simplify right side
    1,323.15x = 1,076,853.10
  5. Step 5: Solve for x
    x = 1,076,853.10/1,323.15
  6. Step 6: Final answer
    x = 813.86

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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.