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Finding the Fourth Proportional to 1,315.61, 1,815.04 and 755.93

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Solution

The fourth proportional to 1,315.61, 1,815.04 and 755.93 is: 1,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.61 : 1,815.04 = 755.93 : x
  2. Step 2: Convert to fraction form
    1,315.61/1,815.04 = 755.93/x
  3. Step 3: Cross multiply
    1,315.61x = 1,815.04 × 755.93
  4. Step 4: Simplify right side
    1,315.61x = 1,372,048.67
  5. Step 5: Solve for x
    x = 1,372,048.67/1,315.61
  6. Step 6: Final answer
    x = 1,042.90

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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.