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Finding the Fourth Proportional to 699.72, 1,047.42 and 455.72

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Solution

The fourth proportional to 699.72, 1,047.42 and 455.72 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.72 : 1,047.42 = 455.72 : x
  2. Step 2: Convert to fraction form
    699.72/1,047.42 = 455.72/x
  3. Step 3: Cross multiply
    699.72x = 1,047.42 × 455.72
  4. Step 4: Simplify right side
    699.72x = 477,330.24
  5. Step 5: Solve for x
    x = 477,330.24/699.72
  6. Step 6: Final answer
    x = 682.17

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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.