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Finding the Fourth Proportional to 556.61, 768.02 and 307.88

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Solution

The fourth proportional to 556.61, 768.02 and 307.88 is: 424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 768.02 = 307.88 : x
  2. Step 2: Convert to fraction form
    556.61/768.02 = 307.88/x
  3. Step 3: Cross multiply
    556.61x = 768.02 × 307.88
  4. Step 4: Simplify right side
    556.61x = 236,452.62
  5. Step 5: Solve for x
    x = 236,452.62/556.61
  6. Step 6: Final answer
    x = 424.81

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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.