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Finding the Fourth Proportional to 1,602.50, 2,403.48 and 678.56

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Solution

The fourth proportional to 1,602.50, 2,403.48 and 678.56 is: 1,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.50 : 2,403.48 = 678.56 : x
  2. Step 2: Convert to fraction form
    1,602.50/2,403.48 = 678.56/x
  3. Step 3: Cross multiply
    1,602.50x = 2,403.48 × 678.56
  4. Step 4: Simplify right side
    1,602.50x = 1,630,905.39
  5. Step 5: Solve for x
    x = 1,630,905.39/1,602.50
  6. Step 6: Final answer
    x = 1,017.73

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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.