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Finding the Fourth Proportional to 1,800.84, 2,695.38 and 977.07

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Solution

The fourth proportional to 1,800.84, 2,695.38 and 977.07 is: 1,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.84 : 2,695.38 = 977.07 : x
  2. Step 2: Convert to fraction form
    1,800.84/2,695.38 = 977.07/x
  3. Step 3: Cross multiply
    1,800.84x = 2,695.38 × 977.07
  4. Step 4: Simplify right side
    1,800.84x = 2,633,574.94
  5. Step 5: Solve for x
    x = 2,633,574.94/1,800.84
  6. Step 6: Final answer
    x = 1,462.41

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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.