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Finding the Fourth Proportional to 847.79, 1,170.11 and 498.50

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Solution

The fourth proportional to 847.79, 1,170.11 and 498.50 is: 688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.79 : 1,170.11 = 498.50 : x
  2. Step 2: Convert to fraction form
    847.79/1,170.11 = 498.50/x
  3. Step 3: Cross multiply
    847.79x = 1,170.11 × 498.50
  4. Step 4: Simplify right side
    847.79x = 583,299.84
  5. Step 5: Solve for x
    x = 583,299.84/847.79
  6. Step 6: Final answer
    x = 688.02

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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.