Home / 1,323.30-1,984.95-543.17

Finding the Fourth Proportional to 1,323.30, 1,984.95 and 543.17

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Solution

The fourth proportional to 1,323.30, 1,984.95 and 543.17 is: 814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.30 : 1,984.95 = 543.17 : x
  2. Step 2: Convert to fraction form
    1,323.30/1,984.95 = 543.17/x
  3. Step 3: Cross multiply
    1,323.30x = 1,984.95 × 543.17
  4. Step 4: Simplify right side
    1,323.30x = 1,078,165.29
  5. Step 5: Solve for x
    x = 1,078,165.29/1,323.30
  6. Step 6: Final answer
    x = 814.76

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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.