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Finding the Fourth Proportional to 614.75, 919.83 and 432.50

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Solution

The fourth proportional to 614.75, 919.83 and 432.50 is: 647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 919.83 = 432.50 : x
  2. Step 2: Convert to fraction form
    614.75/919.83 = 432.50/x
  3. Step 3: Cross multiply
    614.75x = 919.83 × 432.50
  4. Step 4: Simplify right side
    614.75x = 397,826.48
  5. Step 5: Solve for x
    x = 397,826.48/614.75
  6. Step 6: Final answer
    x = 647.14

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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.