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Finding the Fourth Proportional to 698.21, 1,047.11 and 456.02

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Solution

The fourth proportional to 698.21, 1,047.11 and 456.02 is: 683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 1,047.11 = 456.02 : x
  2. Step 2: Convert to fraction form
    698.21/1,047.11 = 456.02/x
  3. Step 3: Cross multiply
    698.21x = 1,047.11 × 456.02
  4. Step 4: Simplify right side
    698.21x = 477,503.10
  5. Step 5: Solve for x
    x = 477,503.10/698.21
  6. Step 6: Final answer
    x = 683.90

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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.