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Finding the Fourth Proportional to 1,043.80, 1,565.76 and 274.32

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Solution

The fourth proportional to 1,043.80, 1,565.76 and 274.32 is: 411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.80 : 1,565.76 = 274.32 : x
  2. Step 2: Convert to fraction form
    1,043.80/1,565.76 = 274.32/x
  3. Step 3: Cross multiply
    1,043.80x = 1,565.76 × 274.32
  4. Step 4: Simplify right side
    1,043.80x = 429,519.28
  5. Step 5: Solve for x
    x = 429,519.28/1,043.80
  6. Step 6: Final answer
    x = 411.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.