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Finding the Fourth Proportional to 760.75, 1,049.07 and 683.26

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Solution

The fourth proportional to 760.75, 1,049.07 and 683.26 is: 942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.75 : 1,049.07 = 683.26 : x
  2. Step 2: Convert to fraction form
    760.75/1,049.07 = 683.26/x
  3. Step 3: Cross multiply
    760.75x = 1,049.07 × 683.26
  4. Step 4: Simplify right side
    760.75x = 716,787.57
  5. Step 5: Solve for x
    x = 716,787.57/760.75
  6. Step 6: Final answer
    x = 942.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.