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Finding the Fourth Proportional to 1,779.71, 2,455.98 and 983.03

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Solution

The fourth proportional to 1,779.71, 2,455.98 and 983.03 is: 1,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.71 : 2,455.98 = 983.03 : x
  2. Step 2: Convert to fraction form
    1,779.71/2,455.98 = 983.03/x
  3. Step 3: Cross multiply
    1,779.71x = 2,455.98 × 983.03
  4. Step 4: Simplify right side
    1,779.71x = 2,414,308.16
  5. Step 5: Solve for x
    x = 2,414,308.16/1,779.71
  6. Step 6: Final answer
    x = 1,356.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.