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Finding the Fourth Proportional to 873.36, 1,205.19 and 500.27

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Solution

The fourth proportional to 873.36, 1,205.19 and 500.27 is: 690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.36 : 1,205.19 = 500.27 : x
  2. Step 2: Convert to fraction form
    873.36/1,205.19 = 500.27/x
  3. Step 3: Cross multiply
    873.36x = 1,205.19 × 500.27
  4. Step 4: Simplify right side
    873.36x = 602,914.38
  5. Step 5: Solve for x
    x = 602,914.38/873.36
  6. Step 6: Final answer
    x = 690.34

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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.