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Finding the Fourth Proportional to 760.98, 1,140.56 and 298.47

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Solution

The fourth proportional to 760.98, 1,140.56 and 298.47 is: 447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.98 : 1,140.56 = 298.47 : x
  2. Step 2: Convert to fraction form
    760.98/1,140.56 = 298.47/x
  3. Step 3: Cross multiply
    760.98x = 1,140.56 × 298.47
  4. Step 4: Simplify right side
    760.98x = 340,422.94
  5. Step 5: Solve for x
    x = 340,422.94/760.98
  6. Step 6: Final answer
    x = 447.35

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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.