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Finding the Fourth Proportional to 1,868.81, 2,803.38 and 534.59

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Solution

The fourth proportional to 1,868.81, 2,803.38 and 534.59 is: 801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.81 : 2,803.38 = 534.59 : x
  2. Step 2: Convert to fraction form
    1,868.81/2,803.38 = 534.59/x
  3. Step 3: Cross multiply
    1,868.81x = 2,803.38 × 534.59
  4. Step 4: Simplify right side
    1,868.81x = 1,498,661.29
  5. Step 5: Solve for x
    x = 1,498,661.29/1,868.81
  6. Step 6: Final answer
    x = 801.93

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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.