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Finding the Fourth Proportional to 1,142.63, 1,578.32 and 922.40

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Solution

The fourth proportional to 1,142.63, 1,578.32 and 922.40 is: 1,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.63 : 1,578.32 = 922.40 : x
  2. Step 2: Convert to fraction form
    1,142.63/1,578.32 = 922.40/x
  3. Step 3: Cross multiply
    1,142.63x = 1,578.32 × 922.40
  4. Step 4: Simplify right side
    1,142.63x = 1,455,829.86
  5. Step 5: Solve for x
    x = 1,455,829.86/1,142.63
  6. Step 6: Final answer
    x = 1,274.11

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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.