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Finding the Fourth Proportional to 919.64, 1,378.29 and 457.58

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Solution

The fourth proportional to 919.64, 1,378.29 and 457.58 is: 685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.64 : 1,378.29 = 457.58 : x
  2. Step 2: Convert to fraction form
    919.64/1,378.29 = 457.58/x
  3. Step 3: Cross multiply
    919.64x = 1,378.29 × 457.58
  4. Step 4: Simplify right side
    919.64x = 630,677.94
  5. Step 5: Solve for x
    x = 630,677.94/919.64
  6. Step 6: Final answer
    x = 685.79

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1.5x scale

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.