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Finding the Fourth Proportional to 760.71, 1,049.22 and 465.74

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Solution

The fourth proportional to 760.71, 1,049.22 and 465.74 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.71 : 1,049.22 = 465.74 : x
  2. Step 2: Convert to fraction form
    760.71/1,049.22 = 465.74/x
  3. Step 3: Cross multiply
    760.71x = 1,049.22 × 465.74
  4. Step 4: Simplify right side
    760.71x = 488,658.48
  5. Step 5: Solve for x
    x = 488,658.48/760.71
  6. Step 6: Final answer
    x = 642.37

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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.