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Finding the Fourth Proportional to 1,313.77, 1,970.94 and 436.54

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Solution

The fourth proportional to 1,313.77, 1,970.94 and 436.54 is: 654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.77 : 1,970.94 = 436.54 : x
  2. Step 2: Convert to fraction form
    1,313.77/1,970.94 = 436.54/x
  3. Step 3: Cross multiply
    1,313.77x = 1,970.94 × 436.54
  4. Step 4: Simplify right side
    1,313.77x = 860,394.15
  5. Step 5: Solve for x
    x = 860,394.15/1,313.77
  6. Step 6: Final answer
    x = 654.90

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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.