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Finding the Fourth Proportional to 760.05, 1,049.15 and 550.29

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Solution

The fourth proportional to 760.05, 1,049.15 and 550.29 is: 759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.05 : 1,049.15 = 550.29 : x
  2. Step 2: Convert to fraction form
    760.05/1,049.15 = 550.29/x
  3. Step 3: Cross multiply
    760.05x = 1,049.15 × 550.29
  4. Step 4: Simplify right side
    760.05x = 577,342.06
  5. Step 5: Solve for x
    x = 577,342.06/760.05
  6. Step 6: Final answer
    x = 759.61

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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.