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Finding the Fourth Proportional to 1,113.73, 1,669.69 and 464.95

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Solution

The fourth proportional to 1,113.73, 1,669.69 and 464.95 is: 697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.73 : 1,669.69 = 464.95 : x
  2. Step 2: Convert to fraction form
    1,113.73/1,669.69 = 464.95/x
  3. Step 3: Cross multiply
    1,113.73x = 1,669.69 × 464.95
  4. Step 4: Simplify right side
    1,113.73x = 776,322.37
  5. Step 5: Solve for x
    x = 776,322.37/1,113.73
  6. Step 6: Final answer
    x = 697.05

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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.