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Finding the Fourth Proportional to 922.89, 1,271.30 and 642.63

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Solution

The fourth proportional to 922.89, 1,271.30 and 642.63 is: 885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.89 : 1,271.30 = 642.63 : x
  2. Step 2: Convert to fraction form
    922.89/1,271.30 = 642.63/x
  3. Step 3: Cross multiply
    922.89x = 1,271.30 × 642.63
  4. Step 4: Simplify right side
    922.89x = 816,977.07
  5. Step 5: Solve for x
    x = 816,977.07/922.89
  6. Step 6: Final answer
    x = 885.23

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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.