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Finding the Fourth Proportional to 922.07, 1,272.36 and 543.95

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Solution

The fourth proportional to 922.07, 1,272.36 and 543.95 is: 750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.07 : 1,272.36 = 543.95 : x
  2. Step 2: Convert to fraction form
    922.07/1,272.36 = 543.95/x
  3. Step 3: Cross multiply
    922.07x = 1,272.36 × 543.95
  4. Step 4: Simplify right side
    922.07x = 692,103.06
  5. Step 5: Solve for x
    x = 692,103.06/922.07
  6. Step 6: Final answer
    x = 750.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.