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Finding the Fourth Proportional to 614.52, 919.98 and 577.98

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Solution

The fourth proportional to 614.52, 919.98 and 577.98 is: 865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 919.98 = 577.98 : x
  2. Step 2: Convert to fraction form
    614.52/919.98 = 577.98/x
  3. Step 3: Cross multiply
    614.52x = 919.98 × 577.98
  4. Step 4: Simplify right side
    614.52x = 531,730.04
  5. Step 5: Solve for x
    x = 531,730.04/614.52
  6. Step 6: Final answer
    x = 865.28

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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.