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Finding the Fourth Proportional to 847.76, 1,170 and 498.40

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Solution

The fourth proportional to 847.76, 1,170 and 498.40 is: 687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.76 : 1,170 = 498.40 : x
  2. Step 2: Convert to fraction form
    847.76/1,170 = 498.40/x
  3. Step 3: Cross multiply
    847.76x = 1,170 × 498.40
  4. Step 4: Simplify right side
    847.76x = 583,128
  5. Step 5: Solve for x
    x = 583,128/847.76
  6. Step 6: Final answer
    x = 687.85

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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.