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Finding the Fourth Proportional to 1,800.36, 2,698.11 and 977.40

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Solution

The fourth proportional to 1,800.36, 2,698.11 and 977.40 is: 1,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.36 : 2,698.11 = 977.40 : x
  2. Step 2: Convert to fraction form
    1,800.36/2,698.11 = 977.40/x
  3. Step 3: Cross multiply
    1,800.36x = 2,698.11 × 977.40
  4. Step 4: Simplify right side
    1,800.36x = 2,637,132.71
  5. Step 5: Solve for x
    x = 2,637,132.71/1,800.36
  6. Step 6: Final answer
    x = 1,464.78

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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.