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Finding the Fourth Proportional to 760.14, 1,049.17 and 635.59

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Solution

The fourth proportional to 760.14, 1,049.17 and 635.59 is: 877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.14 : 1,049.17 = 635.59 : x
  2. Step 2: Convert to fraction form
    760.14/1,049.17 = 635.59/x
  3. Step 3: Cross multiply
    760.14x = 1,049.17 × 635.59
  4. Step 4: Simplify right side
    760.14x = 666,836.71
  5. Step 5: Solve for x
    x = 666,836.71/760.14
  6. Step 6: Final answer
    x = 877.26

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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.