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Finding the Fourth Proportional to 2,405.42, 3,607.85 and 650.34

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Solution

The fourth proportional to 2,405.42, 3,607.85 and 650.34 is: 975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.42 : 3,607.85 = 650.34 : x
  2. Step 2: Convert to fraction form
    2,405.42/3,607.85 = 650.34/x
  3. Step 3: Cross multiply
    2,405.42x = 3,607.85 × 650.34
  4. Step 4: Simplify right side
    2,405.42x = 2,346,329.17
  5. Step 5: Solve for x
    x = 2,346,329.17/2,405.42
  6. Step 6: Final answer
    x = 975.43

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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.