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Finding the Fourth Proportional to 919.46, 1,270.64 and 683.76

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Solution

The fourth proportional to 919.46, 1,270.64 and 683.76 is: 944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.46 : 1,270.64 = 683.76 : x
  2. Step 2: Convert to fraction form
    919.46/1,270.64 = 683.76/x
  3. Step 3: Cross multiply
    919.46x = 1,270.64 × 683.76
  4. Step 4: Simplify right side
    919.46x = 868,812.81
  5. Step 5: Solve for x
    x = 868,812.81/919.46
  6. Step 6: Final answer
    x = 944.92

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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.