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Finding the Fourth Proportional to 1,106.05, 1,526.23 and 634.07

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Solution

The fourth proportional to 1,106.05, 1,526.23 and 634.07 is: 874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.05 : 1,526.23 = 634.07 : x
  2. Step 2: Convert to fraction form
    1,106.05/1,526.23 = 634.07/x
  3. Step 3: Cross multiply
    1,106.05x = 1,526.23 × 634.07
  4. Step 4: Simplify right side
    1,106.05x = 967,739.84
  5. Step 5: Solve for x
    x = 967,739.84/1,106.05
  6. Step 6: Final answer
    x = 874.95

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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.