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Finding the Fourth Proportional to 873.98, 1,206.11 and 500.94

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Solution

The fourth proportional to 873.98, 1,206.11 and 500.94 is: 691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.98 : 1,206.11 = 500.94 : x
  2. Step 2: Convert to fraction form
    873.98/1,206.11 = 500.94/x
  3. Step 3: Cross multiply
    873.98x = 1,206.11 × 500.94
  4. Step 4: Simplify right side
    873.98x = 604,188.74
  5. Step 5: Solve for x
    x = 604,188.74/873.98
  6. Step 6: Final answer
    x = 691.31

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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.