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Finding the Fourth Proportional to 873.80, 1,205.82 and 500.99

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Solution

The fourth proportional to 873.80, 1,205.82 and 500.99 is: 691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.80 : 1,205.82 = 500.99 : x
  2. Step 2: Convert to fraction form
    873.80/1,205.82 = 500.99/x
  3. Step 3: Cross multiply
    873.80x = 1,205.82 × 500.99
  4. Step 4: Simplify right side
    873.80x = 604,104.90
  5. Step 5: Solve for x
    x = 604,104.90/873.80
  6. Step 6: Final answer
    x = 691.36

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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.