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Finding the Fourth Proportional to 556.68, 767.77 and 458.27

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Solution

The fourth proportional to 556.68, 767.77 and 458.27 is: 632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.68 : 767.77 = 458.27 : x
  2. Step 2: Convert to fraction form
    556.68/767.77 = 458.27/x
  3. Step 3: Cross multiply
    556.68x = 767.77 × 458.27
  4. Step 4: Simplify right side
    556.68x = 351,840.97
  5. Step 5: Solve for x
    x = 351,840.97/556.68
  6. Step 6: Final answer
    x = 632.03

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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.