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Finding the Fourth Proportional to 760.11, 1,049.06 and 465.54

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Solution

The fourth proportional to 760.11, 1,049.06 and 465.54 is: 642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.11 : 1,049.06 = 465.54 : x
  2. Step 2: Convert to fraction form
    760.11/1,049.06 = 465.54/x
  3. Step 3: Cross multiply
    760.11x = 1,049.06 × 465.54
  4. Step 4: Simplify right side
    760.11x = 488,380.56
  5. Step 5: Solve for x
    x = 488,380.56/760.11
  6. Step 6: Final answer
    x = 642.51

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1.5x scale

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.