Home / 1,436.12-2,152.16-776.57

Finding the Fourth Proportional to 1,436.12, 2,152.16 and 776.57

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Solution

The fourth proportional to 1,436.12, 2,152.16 and 776.57 is: 1,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.12 : 2,152.16 = 776.57 : x
  2. Step 2: Convert to fraction form
    1,436.12/2,152.16 = 776.57/x
  3. Step 3: Cross multiply
    1,436.12x = 2,152.16 × 776.57
  4. Step 4: Simplify right side
    1,436.12x = 1,671,294.07
  5. Step 5: Solve for x
    x = 1,671,294.07/1,436.12
  6. Step 6: Final answer
    x = 1,163.76

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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.