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Finding the Fourth Proportional to 1,557.86, 2,336.85 and 403.64

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Solution

The fourth proportional to 1,557.86, 2,336.85 and 403.64 is: 605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.86 : 2,336.85 = 403.64 : x
  2. Step 2: Convert to fraction form
    1,557.86/2,336.85 = 403.64/x
  3. Step 3: Cross multiply
    1,557.86x = 2,336.85 × 403.64
  4. Step 4: Simplify right side
    1,557.86x = 943,246.13
  5. Step 5: Solve for x
    x = 943,246.13/1,557.86
  6. Step 6: Final answer
    x = 605.48

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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.