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Finding the Fourth Proportional to 458.65, 633.36 and 392.77

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Solution

The fourth proportional to 458.65, 633.36 and 392.77 is: 542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.65 : 633.36 = 392.77 : x
  2. Step 2: Convert to fraction form
    458.65/633.36 = 392.77/x
  3. Step 3: Cross multiply
    458.65x = 633.36 × 392.77
  4. Step 4: Simplify right side
    458.65x = 248,764.81
  5. Step 5: Solve for x
    x = 248,764.81/458.65
  6. Step 6: Final answer
    x = 542.38

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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.