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Finding the Fourth Proportional to 1,205.65, 1,808.48 and 628.45

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Solution

The fourth proportional to 1,205.65, 1,808.48 and 628.45 is: 942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.65 : 1,808.48 = 628.45 : x
  2. Step 2: Convert to fraction form
    1,205.65/1,808.48 = 628.45/x
  3. Step 3: Cross multiply
    1,205.65x = 1,808.48 × 628.45
  4. Step 4: Simplify right side
    1,205.65x = 1,136,536.11
  5. Step 5: Solve for x
    x = 1,136,536.11/1,205.65
  6. Step 6: Final answer
    x = 942.68

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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.