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Finding the Fourth Proportional to 1,768.79, 2,653.10 and 470.26

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Solution

The fourth proportional to 1,768.79, 2,653.10 and 470.26 is: 705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.79 : 2,653.10 = 470.26 : x
  2. Step 2: Convert to fraction form
    1,768.79/2,653.10 = 470.26/x
  3. Step 3: Cross multiply
    1,768.79x = 2,653.10 × 470.26
  4. Step 4: Simplify right side
    1,768.79x = 1,247,637.26
  5. Step 5: Solve for x
    x = 1,247,637.26/1,768.79
  6. Step 6: Final answer
    x = 705.36

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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.