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Finding the Fourth Proportional to 677.76, 935.26 and 383.06

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Solution

The fourth proportional to 677.76, 935.26 and 383.06 is: 528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 935.26 = 383.06 : x
  2. Step 2: Convert to fraction form
    677.76/935.26 = 383.06/x
  3. Step 3: Cross multiply
    677.76x = 935.26 × 383.06
  4. Step 4: Simplify right side
    677.76x = 358,255.06
  5. Step 5: Solve for x
    x = 358,255.06/677.76
  6. Step 6: Final answer
    x = 528.59

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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.