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Finding the Fourth Proportional to 760.51, 1,140.79 and 298.41

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Solution

The fourth proportional to 760.51, 1,140.79 and 298.41 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.51 : 1,140.79 = 298.41 : x
  2. Step 2: Convert to fraction form
    760.51/1,140.79 = 298.41/x
  3. Step 3: Cross multiply
    760.51x = 1,140.79 × 298.41
  4. Step 4: Simplify right side
    760.51x = 340,423.14
  5. Step 5: Solve for x
    x = 340,423.14/760.51
  6. Step 6: Final answer
    x = 447.62

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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.