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Finding the Fourth Proportional to 821.98, 1,134.47 and 511.50

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Solution

The fourth proportional to 821.98, 1,134.47 and 511.50 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.98 : 1,134.47 = 511.50 : x
  2. Step 2: Convert to fraction form
    821.98/1,134.47 = 511.50/x
  3. Step 3: Cross multiply
    821.98x = 1,134.47 × 511.50
  4. Step 4: Simplify right side
    821.98x = 580,281.41
  5. Step 5: Solve for x
    x = 580,281.41/821.98
  6. Step 6: Final answer
    x = 705.96

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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.