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Finding the Fourth Proportional to 1,043.45, 1,440.08 and 595.43

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Solution

The fourth proportional to 1,043.45, 1,440.08 and 595.43 is: 821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.45 : 1,440.08 = 595.43 : x
  2. Step 2: Convert to fraction form
    1,043.45/1,440.08 = 595.43/x
  3. Step 3: Cross multiply
    1,043.45x = 1,440.08 × 595.43
  4. Step 4: Simplify right side
    1,043.45x = 857,463.86
  5. Step 5: Solve for x
    x = 857,463.86/1,043.45
  6. Step 6: Final answer
    x = 821.76

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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.