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Finding the Fourth Proportional to 614.55, 920.64 and 383.53

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Solution

The fourth proportional to 614.55, 920.64 and 383.53 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.55 : 920.64 = 383.53 : x
  2. Step 2: Convert to fraction form
    614.55/920.64 = 383.53/x
  3. Step 3: Cross multiply
    614.55x = 920.64 × 383.53
  4. Step 4: Simplify right side
    614.55x = 353,093.06
  5. Step 5: Solve for x
    x = 353,093.06/614.55
  6. Step 6: Final answer
    x = 574.56

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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.