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Finding the Fourth Proportional to 678.85, 933.77 and 566.75

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Solution

The fourth proportional to 678.85, 933.77 and 566.75 is: 779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.85 : 933.77 = 566.75 : x
  2. Step 2: Convert to fraction form
    678.85/933.77 = 566.75/x
  3. Step 3: Cross multiply
    678.85x = 933.77 × 566.75
  4. Step 4: Simplify right side
    678.85x = 529,217.90
  5. Step 5: Solve for x
    x = 529,217.90/678.85
  6. Step 6: Final answer
    x = 779.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.