Home / 1,121.14-1,681.09-462.84

Finding the Fourth Proportional to 1,121.14, 1,681.09 and 462.84

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Solution

The fourth proportional to 1,121.14, 1,681.09 and 462.84 is: 694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.14 : 1,681.09 = 462.84 : x
  2. Step 2: Convert to fraction form
    1,121.14/1,681.09 = 462.84/x
  3. Step 3: Cross multiply
    1,121.14x = 1,681.09 × 462.84
  4. Step 4: Simplify right side
    1,121.14x = 778,075.70
  5. Step 5: Solve for x
    x = 778,075.70/1,121.14
  6. Step 6: Final answer
    x = 694.00

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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.