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Finding the Fourth Proportional to 696.90, 1,045.35 and 285.75

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Solution

The fourth proportional to 696.90, 1,045.35 and 285.75 is: 428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 1,045.35 = 285.75 : x
  2. Step 2: Convert to fraction form
    696.90/1,045.35 = 285.75/x
  3. Step 3: Cross multiply
    696.90x = 1,045.35 × 285.75
  4. Step 4: Simplify right side
    696.90x = 298,703.54
  5. Step 5: Solve for x
    x = 298,703.54/696.90
  6. Step 6: Final answer
    x = 428.62

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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.