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Finding the Fourth Proportional to 761.20, 1,049.99 and 551.08

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Solution

The fourth proportional to 761.20, 1,049.99 and 551.08 is: 760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.20 : 1,049.99 = 551.08 : x
  2. Step 2: Convert to fraction form
    761.20/1,049.99 = 551.08/x
  3. Step 3: Cross multiply
    761.20x = 1,049.99 × 551.08
  4. Step 4: Simplify right side
    761.20x = 578,625.64
  5. Step 5: Solve for x
    x = 578,625.64/761.20
  6. Step 6: Final answer
    x = 760.15

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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.