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Finding the Fourth Proportional to 677.05, 1,014.55 and 608.20

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Solution

The fourth proportional to 677.05, 1,014.55 and 608.20 is: 911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.05 : 1,014.55 = 608.20 : x
  2. Step 2: Convert to fraction form
    677.05/1,014.55 = 608.20/x
  3. Step 3: Cross multiply
    677.05x = 1,014.55 × 608.20
  4. Step 4: Simplify right side
    677.05x = 617,045.25
  5. Step 5: Solve for x
    x = 617,045.25/677.05
  6. Step 6: Final answer
    x = 911.38

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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.