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Finding the Fourth Proportional to 551.06, 821.31 and 527.98

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Solution

The fourth proportional to 551.06, 821.31 and 527.98 is: 786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.06 : 821.31 = 527.98 : x
  2. Step 2: Convert to fraction form
    551.06/821.31 = 527.98/x
  3. Step 3: Cross multiply
    551.06x = 821.31 × 527.98
  4. Step 4: Simplify right side
    551.06x = 433,632.61
  5. Step 5: Solve for x
    x = 433,632.61/551.06
  6. Step 6: Final answer
    x = 786.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.