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Finding the Fourth Proportional to 760.20, 1,049.28 and 465.60

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Solution

The fourth proportional to 760.20, 1,049.28 and 465.60 is: 642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,049.28 = 465.60 : x
  2. Step 2: Convert to fraction form
    760.20/1,049.28 = 465.60/x
  3. Step 3: Cross multiply
    760.20x = 1,049.28 × 465.60
  4. Step 4: Simplify right side
    760.20x = 488,544.77
  5. Step 5: Solve for x
    x = 488,544.77/760.20
  6. Step 6: Final answer
    x = 642.65

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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.