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Finding the Fourth Proportional to 696.42, 1,045.01 and 285.84

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Solution

The fourth proportional to 696.42, 1,045.01 and 285.84 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 1,045.01 = 285.84 : x
  2. Step 2: Convert to fraction form
    696.42/1,045.01 = 285.84/x
  3. Step 3: Cross multiply
    696.42x = 1,045.01 × 285.84
  4. Step 4: Simplify right side
    696.42x = 298,705.66
  5. Step 5: Solve for x
    x = 298,705.66/696.42
  6. Step 6: Final answer
    x = 428.92

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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.