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Finding the Fourth Proportional to 556.75, 767.10 and 458.38

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Solution

The fourth proportional to 556.75, 767.10 and 458.38 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.75 : 767.10 = 458.38 : x
  2. Step 2: Convert to fraction form
    556.75/767.10 = 458.38/x
  3. Step 3: Cross multiply
    556.75x = 767.10 × 458.38
  4. Step 4: Simplify right side
    556.75x = 351,623.30
  5. Step 5: Solve for x
    x = 351,623.30/556.75
  6. Step 6: Final answer
    x = 631.56

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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.