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Finding the Fourth Proportional to 474.67, 710.81 and 300.81

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Solution

The fourth proportional to 474.67, 710.81 and 300.81 is: 450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.67 : 710.81 = 300.81 : x
  2. Step 2: Convert to fraction form
    474.67/710.81 = 300.81/x
  3. Step 3: Cross multiply
    474.67x = 710.81 × 300.81
  4. Step 4: Simplify right side
    474.67x = 213,818.76
  5. Step 5: Solve for x
    x = 213,818.76/474.67
  6. Step 6: Final answer
    x = 450.46

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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.