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Finding the Fourth Proportional to 677.62, 1,016.90 and 348.35

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Solution

The fourth proportional to 677.62, 1,016.90 and 348.35 is: 522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.62 : 1,016.90 = 348.35 : x
  2. Step 2: Convert to fraction form
    677.62/1,016.90 = 348.35/x
  3. Step 3: Cross multiply
    677.62x = 1,016.90 × 348.35
  4. Step 4: Simplify right side
    677.62x = 354,239.27
  5. Step 5: Solve for x
    x = 354,239.27/677.62
  6. Step 6: Final answer
    x = 522.77

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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.