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Finding the Fourth Proportional to 922.97, 1,273.79 and 530.06

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Solution

The fourth proportional to 922.97, 1,273.79 and 530.06 is: 731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.97 : 1,273.79 = 530.06 : x
  2. Step 2: Convert to fraction form
    922.97/1,273.79 = 530.06/x
  3. Step 3: Cross multiply
    922.97x = 1,273.79 × 530.06
  4. Step 4: Simplify right side
    922.97x = 675,180.08
  5. Step 5: Solve for x
    x = 675,180.08/922.97
  6. Step 6: Final answer
    x = 731.53

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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.