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Finding the Fourth Proportional to 922.23, 1,273.70 and 714.91

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Solution

The fourth proportional to 922.23, 1,273.70 and 714.91 is: 987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.23 : 1,273.70 = 714.91 : x
  2. Step 2: Convert to fraction form
    922.23/1,273.70 = 714.91/x
  3. Step 3: Cross multiply
    922.23x = 1,273.70 × 714.91
  4. Step 4: Simplify right side
    922.23x = 910,580.87
  5. Step 5: Solve for x
    x = 910,580.87/922.23
  6. Step 6: Final answer
    x = 987.37

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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.