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Finding the Fourth Proportional to 677.76, 935.52 and 428.96

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Solution

The fourth proportional to 677.76, 935.52 and 428.96 is: 592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 935.52 = 428.96 : x
  2. Step 2: Convert to fraction form
    677.76/935.52 = 428.96/x
  3. Step 3: Cross multiply
    677.76x = 935.52 × 428.96
  4. Step 4: Simplify right side
    677.76x = 401,300.66
  5. Step 5: Solve for x
    x = 401,300.66/677.76
  6. Step 6: Final answer
    x = 592.10

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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.