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Finding the Fourth Proportional to 1,065.76, 1,470.78 and 587.26

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Solution

The fourth proportional to 1,065.76, 1,470.78 and 587.26 is: 810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.76 : 1,470.78 = 587.26 : x
  2. Step 2: Convert to fraction form
    1,065.76/1,470.78 = 587.26/x
  3. Step 3: Cross multiply
    1,065.76x = 1,470.78 × 587.26
  4. Step 4: Simplify right side
    1,065.76x = 863,727.33
  5. Step 5: Solve for x
    x = 863,727.33/1,065.76
  6. Step 6: Final answer
    x = 810.44

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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.