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Finding the Fourth Proportional to 1,303.26, 1,950.03 and 783.51

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Solution

The fourth proportional to 1,303.26, 1,950.03 and 783.51 is: 1,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.26 : 1,950.03 = 783.51 : x
  2. Step 2: Convert to fraction form
    1,303.26/1,950.03 = 783.51/x
  3. Step 3: Cross multiply
    1,303.26x = 1,950.03 × 783.51
  4. Step 4: Simplify right side
    1,303.26x = 1,527,868.01
  5. Step 5: Solve for x
    x = 1,527,868.01/1,303.26
  6. Step 6: Final answer
    x = 1,172.34

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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.