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Finding the Fourth Proportional to 1,105.95, 1,526.21 and 608.58

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Solution

The fourth proportional to 1,105.95, 1,526.21 and 608.58 is: 839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.95 : 1,526.21 = 608.58 : x
  2. Step 2: Convert to fraction form
    1,105.95/1,526.21 = 608.58/x
  3. Step 3: Cross multiply
    1,105.95x = 1,526.21 × 608.58
  4. Step 4: Simplify right side
    1,105.95x = 928,813.25
  5. Step 5: Solve for x
    x = 928,813.25/1,105.95
  6. Step 6: Final answer
    x = 839.84

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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.