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Finding the Fourth Proportional to 618.21, 928.53 and 574.47

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Solution

The fourth proportional to 618.21, 928.53 and 574.47 is: 862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.21 : 928.53 = 574.47 : x
  2. Step 2: Convert to fraction form
    618.21/928.53 = 574.47/x
  3. Step 3: Cross multiply
    618.21x = 928.53 × 574.47
  4. Step 4: Simplify right side
    618.21x = 533,412.63
  5. Step 5: Solve for x
    x = 533,412.63/618.21
  6. Step 6: Final answer
    x = 862.83

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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.