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Finding the Fourth Proportional to 677.49, 935.01 and 382.77

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Solution

The fourth proportional to 677.49, 935.01 and 382.77 is: 528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.49 : 935.01 = 382.77 : x
  2. Step 2: Convert to fraction form
    677.49/935.01 = 382.77/x
  3. Step 3: Cross multiply
    677.49x = 935.01 × 382.77
  4. Step 4: Simplify right side
    677.49x = 357,893.78
  5. Step 5: Solve for x
    x = 357,893.78/677.49
  6. Step 6: Final answer
    x = 528.26

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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.