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Finding the Fourth Proportional to 873.20, 1,205.04 and 500.12

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Solution

The fourth proportional to 873.20, 1,205.04 and 500.12 is: 690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.20 : 1,205.04 = 500.12 : x
  2. Step 2: Convert to fraction form
    873.20/1,205.04 = 500.12/x
  3. Step 3: Cross multiply
    873.20x = 1,205.04 × 500.12
  4. Step 4: Simplify right side
    873.20x = 602,664.60
  5. Step 5: Solve for x
    x = 602,664.60/873.20
  6. Step 6: Final answer
    x = 690.18

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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.