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Finding the Fourth Proportional to 1,106.01, 1,525.41 and 774.45

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Solution

The fourth proportional to 1,106.01, 1,525.41 and 774.45 is: 1,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.01 : 1,525.41 = 774.45 : x
  2. Step 2: Convert to fraction form
    1,106.01/1,525.41 = 774.45/x
  3. Step 3: Cross multiply
    1,106.01x = 1,525.41 × 774.45
  4. Step 4: Simplify right side
    1,106.01x = 1,181,353.77
  5. Step 5: Solve for x
    x = 1,181,353.77/1,106.01
  6. Step 6: Final answer
    x = 1,068.12

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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.