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Finding the Fourth Proportional to 614.40, 919.08 and 559.92

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Solution

The fourth proportional to 614.40, 919.08 and 559.92 is: 837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 919.08 = 559.92 : x
  2. Step 2: Convert to fraction form
    614.40/919.08 = 559.92/x
  3. Step 3: Cross multiply
    614.40x = 919.08 × 559.92
  4. Step 4: Simplify right side
    614.40x = 514,611.27
  5. Step 5: Solve for x
    x = 514,611.27/614.40
  6. Step 6: Final answer
    x = 837.58

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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.