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Finding the Fourth Proportional to 1,869.93, 2,804.67 and 553.55

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Solution

The fourth proportional to 1,869.93, 2,804.67 and 553.55 is: 830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.93 : 2,804.67 = 553.55 : x
  2. Step 2: Convert to fraction form
    1,869.93/2,804.67 = 553.55/x
  3. Step 3: Cross multiply
    1,869.93x = 2,804.67 × 553.55
  4. Step 4: Simplify right side
    1,869.93x = 1,552,511.06
  5. Step 5: Solve for x
    x = 1,552,511.06/1,869.93
  6. Step 6: Final answer
    x = 830.25

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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.