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Finding the Fourth Proportional to 558.71, 768.75 and 458.76

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Solution

The fourth proportional to 558.71, 768.75 and 458.76 is: 631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.71 : 768.75 = 458.76 : x
  2. Step 2: Convert to fraction form
    558.71/768.75 = 458.76/x
  3. Step 3: Cross multiply
    558.71x = 768.75 × 458.76
  4. Step 4: Simplify right side
    558.71x = 352,670.98
  5. Step 5: Solve for x
    x = 352,670.98/558.71
  6. Step 6: Final answer
    x = 631.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.