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Finding the Fourth Proportional to 760.75, 1,140.14 and 644.34

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Solution

The fourth proportional to 760.75, 1,140.14 and 644.34 is: 965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.75 : 1,140.14 = 644.34 : x
  2. Step 2: Convert to fraction form
    760.75/1,140.14 = 644.34/x
  3. Step 3: Cross multiply
    760.75x = 1,140.14 × 644.34
  4. Step 4: Simplify right side
    760.75x = 734,639.84
  5. Step 5: Solve for x
    x = 734,639.84/760.75
  6. Step 6: Final answer
    x = 965.68

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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.