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Finding the Fourth Proportional to 760.69, 1,139.00 and 412.39

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Solution

The fourth proportional to 760.69, 1,139.00 and 412.39 is: 617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.69 : 1,139.00 = 412.39 : x
  2. Step 2: Convert to fraction form
    760.69/1,139.00 = 412.39/x
  3. Step 3: Cross multiply
    760.69x = 1,139.00 × 412.39
  4. Step 4: Simplify right side
    760.69x = 469,708.64
  5. Step 5: Solve for x
    x = 469,708.64/760.69
  6. Step 6: Final answer
    x = 617.48

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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.