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Finding the Fourth Proportional to 1,768.75, 2,653.13 and 470.23

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Solution

The fourth proportional to 1,768.75, 2,653.13 and 470.23 is: 705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.75 : 2,653.13 = 470.23 : x
  2. Step 2: Convert to fraction form
    1,768.75/2,653.13 = 470.23/x
  3. Step 3: Cross multiply
    1,768.75x = 2,653.13 × 470.23
  4. Step 4: Simplify right side
    1,768.75x = 1,247,581.32
  5. Step 5: Solve for x
    x = 1,247,581.32/1,768.75
  6. Step 6: Final answer
    x = 705.35

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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.