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Finding the Fourth Proportional to 919.60, 1,378.24 and 534.40

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Solution

The fourth proportional to 919.60, 1,378.24 and 534.40 is: 800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.60 : 1,378.24 = 534.40 : x
  2. Step 2: Convert to fraction form
    919.60/1,378.24 = 534.40/x
  3. Step 3: Cross multiply
    919.60x = 1,378.24 × 534.40
  4. Step 4: Simplify right side
    919.60x = 736,531.46
  5. Step 5: Solve for x
    x = 736,531.46/919.60
  6. Step 6: Final answer
    x = 800.93

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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.