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Finding the Fourth Proportional to 614.90, 920.46 and 574.94

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Solution

The fourth proportional to 614.90, 920.46 and 574.94 is: 860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.90 : 920.46 = 574.94 : x
  2. Step 2: Convert to fraction form
    614.90/920.46 = 574.94/x
  3. Step 3: Cross multiply
    614.90x = 920.46 × 574.94
  4. Step 4: Simplify right side
    614.90x = 529,209.27
  5. Step 5: Solve for x
    x = 529,209.27/614.90
  6. Step 6: Final answer
    x = 860.64

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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.