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Finding the Fourth Proportional to 474.24, 706.73 and 458.76

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Solution

The fourth proportional to 474.24, 706.73 and 458.76 is: 683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 706.73 = 458.76 : x
  2. Step 2: Convert to fraction form
    474.24/706.73 = 458.76/x
  3. Step 3: Cross multiply
    474.24x = 706.73 × 458.76
  4. Step 4: Simplify right side
    474.24x = 324,219.45
  5. Step 5: Solve for x
    x = 324,219.45/474.24
  6. Step 6: Final answer
    x = 683.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.