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Finding the Fourth Proportional to 883.56, 1,325.34 and 498

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Solution

The fourth proportional to 883.56, 1,325.34 and 498 is: 747

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.56 : 1,325.34 = 498 : x
  2. Step 2: Convert to fraction form
    883.56/1,325.34 = 498/x
  3. Step 3: Cross multiply
    883.56x = 1,325.34 × 498
  4. Step 4: Simplify right side
    883.56x = 660,019.32
  5. Step 5: Solve for x
    x = 660,019.32/883.56
  6. Step 6: Final answer
    x = 747

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.