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Finding the Fourth Proportional to 566.42, 849.30 and 498.08

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Solution

The fourth proportional to 566.42, 849.30 and 498.08 is: 746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 849.30 = 498.08 : x
  2. Step 2: Convert to fraction form
    566.42/849.30 = 498.08/x
  3. Step 3: Cross multiply
    566.42x = 849.30 × 498.08
  4. Step 4: Simplify right side
    566.42x = 423,019.34
  5. Step 5: Solve for x
    x = 423,019.34/566.42
  6. Step 6: Final answer
    x = 746.83

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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.