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Finding the Fourth Proportional to 551.54, 760.86 and 385.70

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Solution

The fourth proportional to 551.54, 760.86 and 385.70 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.54 : 760.86 = 385.70 : x
  2. Step 2: Convert to fraction form
    551.54/760.86 = 385.70/x
  3. Step 3: Cross multiply
    551.54x = 760.86 × 385.70
  4. Step 4: Simplify right side
    551.54x = 293,459.90
  5. Step 5: Solve for x
    x = 293,459.90/551.54
  6. Step 6: Final answer
    x = 532.07

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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.