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Finding the Fourth Proportional to 945.62, 1,310.00 and 922.94

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Solution

The fourth proportional to 945.62, 1,310.00 and 922.94 is: 1,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.62 : 1,310.00 = 922.94 : x
  2. Step 2: Convert to fraction form
    945.62/1,310.00 = 922.94/x
  3. Step 3: Cross multiply
    945.62x = 1,310.00 × 922.94
  4. Step 4: Simplify right side
    945.62x = 1,209,047.16
  5. Step 5: Solve for x
    x = 1,209,047.16/945.62
  6. Step 6: Final answer
    x = 1,278.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.