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Finding the Fourth Proportional to 919.23, 1,378.01 and 398.91

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Solution

The fourth proportional to 919.23, 1,378.01 and 398.91 is: 598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.23 : 1,378.01 = 398.91 : x
  2. Step 2: Convert to fraction form
    919.23/1,378.01 = 398.91/x
  3. Step 3: Cross multiply
    919.23x = 1,378.01 × 398.91
  4. Step 4: Simplify right side
    919.23x = 549,701.97
  5. Step 5: Solve for x
    x = 549,701.97/919.23
  6. Step 6: Final answer
    x = 598.00

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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.