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Finding the Fourth Proportional to 696.96, 1,047.60 and 442.08

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Solution

The fourth proportional to 696.96, 1,047.60 and 442.08 is: 664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.96 : 1,047.60 = 442.08 : x
  2. Step 2: Convert to fraction form
    696.96/1,047.60 = 442.08/x
  3. Step 3: Cross multiply
    696.96x = 1,047.60 × 442.08
  4. Step 4: Simplify right side
    696.96x = 463,123.01
  5. Step 5: Solve for x
    x = 463,123.01/696.96
  6. Step 6: Final answer
    x = 664.49

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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.