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Finding the Fourth Proportional to 1,050.49, 1,449.58 and 608.42

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Solution

The fourth proportional to 1,050.49, 1,449.58 and 608.42 is: 839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.49 : 1,449.58 = 608.42 : x
  2. Step 2: Convert to fraction form
    1,050.49/1,449.58 = 608.42/x
  3. Step 3: Cross multiply
    1,050.49x = 1,449.58 × 608.42
  4. Step 4: Simplify right side
    1,050.49x = 881,953.46
  5. Step 5: Solve for x
    x = 881,953.46/1,050.49
  6. Step 6: Final answer
    x = 839.56

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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.