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Finding the Fourth Proportional to 677.15, 1,014.54 and 429.74

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Solution

The fourth proportional to 677.15, 1,014.54 and 429.74 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.15 : 1,014.54 = 429.74 : x
  2. Step 2: Convert to fraction form
    677.15/1,014.54 = 429.74/x
  3. Step 3: Cross multiply
    677.15x = 1,014.54 × 429.74
  4. Step 4: Simplify right side
    677.15x = 435,983.35
  5. Step 5: Solve for x
    x = 435,983.35/677.15
  6. Step 6: Final answer
    x = 643.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.