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Finding the Fourth Proportional to 556.41, 767.78 and 307.72

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Solution

The fourth proportional to 556.41, 767.78 and 307.72 is: 424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.41 : 767.78 = 307.72 : x
  2. Step 2: Convert to fraction form
    556.41/767.78 = 307.72/x
  3. Step 3: Cross multiply
    556.41x = 767.78 × 307.72
  4. Step 4: Simplify right side
    556.41x = 236,257.42
  5. Step 5: Solve for x
    x = 236,257.42/556.41
  6. Step 6: Final answer
    x = 424.61

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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.