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Finding the Fourth Proportional to 1,065.08, 1,470.49 and 815.94

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Solution

The fourth proportional to 1,065.08, 1,470.49 and 815.94 is: 1,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.08 : 1,470.49 = 815.94 : x
  2. Step 2: Convert to fraction form
    1,065.08/1,470.49 = 815.94/x
  3. Step 3: Cross multiply
    1,065.08x = 1,470.49 × 815.94
  4. Step 4: Simplify right side
    1,065.08x = 1,199,829.57
  5. Step 5: Solve for x
    x = 1,199,829.57/1,065.08
  6. Step 6: Final answer
    x = 1,126.51

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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.