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Finding the Fourth Proportional to 1,730.29, 2,596.29 and 756.25

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Solution

The fourth proportional to 1,730.29, 2,596.29 and 756.25 is: 1,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.29 : 2,596.29 = 756.25 : x
  2. Step 2: Convert to fraction form
    1,730.29/2,596.29 = 756.25/x
  3. Step 3: Cross multiply
    1,730.29x = 2,596.29 × 756.25
  4. Step 4: Simplify right side
    1,730.29x = 1,963,444.31
  5. Step 5: Solve for x
    x = 1,963,444.31/1,730.29
  6. Step 6: Final answer
    x = 1,134.75

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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.