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Finding the Fourth Proportional to 669.16, 1,002.87 and 257.89

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Solution

The fourth proportional to 669.16, 1,002.87 and 257.89 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.16 : 1,002.87 = 257.89 : x
  2. Step 2: Convert to fraction form
    669.16/1,002.87 = 257.89/x
  3. Step 3: Cross multiply
    669.16x = 1,002.87 × 257.89
  4. Step 4: Simplify right side
    669.16x = 258,630.14
  5. Step 5: Solve for x
    x = 258,630.14/669.16
  6. Step 6: Final answer
    x = 386.50

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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.