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Finding the Fourth Proportional to 873.72, 1,205.64 and 500.64

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Solution

The fourth proportional to 873.72, 1,205.64 and 500.64 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.72 : 1,205.64 = 500.64 : x
  2. Step 2: Convert to fraction form
    873.72/1,205.64 = 500.64/x
  3. Step 3: Cross multiply
    873.72x = 1,205.64 × 500.64
  4. Step 4: Simplify right side
    873.72x = 603,591.61
  5. Step 5: Solve for x
    x = 603,591.61/873.72
  6. Step 6: Final answer
    x = 690.83

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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.