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Finding the Fourth Proportional to 1,112.86, 1,668.38 and 464.08

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Solution

The fourth proportional to 1,112.86, 1,668.38 and 464.08 is: 695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.86 : 1,668.38 = 464.08 : x
  2. Step 2: Convert to fraction form
    1,112.86/1,668.38 = 464.08/x
  3. Step 3: Cross multiply
    1,112.86x = 1,668.38 × 464.08
  4. Step 4: Simplify right side
    1,112.86x = 774,261.79
  5. Step 5: Solve for x
    x = 774,261.79/1,112.86
  6. Step 6: Final answer
    x = 695.74

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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.