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Finding the Fourth Proportional to 760.94, 1,140.79 and 328.40

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Solution

The fourth proportional to 760.94, 1,140.79 and 328.40 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.94 : 1,140.79 = 328.40 : x
  2. Step 2: Convert to fraction form
    760.94/1,140.79 = 328.40/x
  3. Step 3: Cross multiply
    760.94x = 1,140.79 × 328.40
  4. Step 4: Simplify right side
    760.94x = 374,635.44
  5. Step 5: Solve for x
    x = 374,635.44/760.94
  6. Step 6: Final answer
    x = 492.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.