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Finding the Fourth Proportional to 760.99, 1,142.07 and 395.86

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Solution

The fourth proportional to 760.99, 1,142.07 and 395.86 is: 594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.99 : 1,142.07 = 395.86 : x
  2. Step 2: Convert to fraction form
    760.99/1,142.07 = 395.86/x
  3. Step 3: Cross multiply
    760.99x = 1,142.07 × 395.86
  4. Step 4: Simplify right side
    760.99x = 452,099.83
  5. Step 5: Solve for x
    x = 452,099.83/760.99
  6. Step 6: Final answer
    x = 594.09

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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.