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Finding the Fourth Proportional to 472.94, 713.51 and 458.66

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Solution

The fourth proportional to 472.94, 713.51 and 458.66 is: 691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.94 : 713.51 = 458.66 : x
  2. Step 2: Convert to fraction form
    472.94/713.51 = 458.66/x
  3. Step 3: Cross multiply
    472.94x = 713.51 × 458.66
  4. Step 4: Simplify right side
    472.94x = 327,259.71
  5. Step 5: Solve for x
    x = 327,259.71/472.94
  6. Step 6: Final answer
    x = 691.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.