Home / 1,323.67-1,984.95-543.13

Finding the Fourth Proportional to 1,323.67, 1,984.95 and 543.13

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Solution

The fourth proportional to 1,323.67, 1,984.95 and 543.13 is: 814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.67 : 1,984.95 = 543.13 : x
  2. Step 2: Convert to fraction form
    1,323.67/1,984.95 = 543.13/x
  3. Step 3: Cross multiply
    1,323.67x = 1,984.95 × 543.13
  4. Step 4: Simplify right side
    1,323.67x = 1,078,085.89
  5. Step 5: Solve for x
    x = 1,078,085.89/1,323.67
  6. Step 6: Final answer
    x = 814.47

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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.