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Finding the Fourth Proportional to 677.96, 935.45 and 429.14

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Solution

The fourth proportional to 677.96, 935.45 and 429.14 is: 592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.96 : 935.45 = 429.14 : x
  2. Step 2: Convert to fraction form
    677.96/935.45 = 429.14/x
  3. Step 3: Cross multiply
    677.96x = 935.45 × 429.14
  4. Step 4: Simplify right side
    677.96x = 401,432.19
  5. Step 5: Solve for x
    x = 401,432.19/677.96
  6. Step 6: Final answer
    x = 592.12

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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.