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Finding the Fourth Proportional to 760.24, 1,139.44 and 348.81

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Solution

The fourth proportional to 760.24, 1,139.44 and 348.81 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.24 : 1,139.44 = 348.81 : x
  2. Step 2: Convert to fraction form
    760.24/1,139.44 = 348.81/x
  3. Step 3: Cross multiply
    760.24x = 1,139.44 × 348.81
  4. Step 4: Simplify right side
    760.24x = 397,443.58
  5. Step 5: Solve for x
    x = 397,443.58/760.24
  6. Step 6: Final answer
    x = 522.79

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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.