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Finding the Fourth Proportional to 1,409.78, 2,114.94 and 716.82

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Solution

The fourth proportional to 1,409.78, 2,114.94 and 716.82 is: 1,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.78 : 2,114.94 = 716.82 : x
  2. Step 2: Convert to fraction form
    1,409.78/2,114.94 = 716.82/x
  3. Step 3: Cross multiply
    1,409.78x = 2,114.94 × 716.82
  4. Step 4: Simplify right side
    1,409.78x = 1,516,031.29
  5. Step 5: Solve for x
    x = 1,516,031.29/1,409.78
  6. Step 6: Final answer
    x = 1,075.37

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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.