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Finding the Fourth Proportional to 1,315.64, 1,815.53 and 755.72

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Solution

The fourth proportional to 1,315.64, 1,815.53 and 755.72 is: 1,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.64 : 1,815.53 = 755.72 : x
  2. Step 2: Convert to fraction form
    1,315.64/1,815.53 = 755.72/x
  3. Step 3: Cross multiply
    1,315.64x = 1,815.53 × 755.72
  4. Step 4: Simplify right side
    1,315.64x = 1,372,024.01
  5. Step 5: Solve for x
    x = 1,372,024.01/1,315.64
  6. Step 6: Final answer
    x = 1,042.85

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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.