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Finding the Fourth Proportional to 612.14, 917.44 and 403.50

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Solution

The fourth proportional to 612.14, 917.44 and 403.50 is: 604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 917.44 = 403.50 : x
  2. Step 2: Convert to fraction form
    612.14/917.44 = 403.50/x
  3. Step 3: Cross multiply
    612.14x = 917.44 × 403.50
  4. Step 4: Simplify right side
    612.14x = 370,185.02
  5. Step 5: Solve for x
    x = 370,185.02/612.14
  6. Step 6: Final answer
    x = 604.74

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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.