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Finding the Fourth Proportional to 830.09, 1,145.68 and 690.03

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Solution

The fourth proportional to 830.09, 1,145.68 and 690.03 is: 952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.09 : 1,145.68 = 690.03 : x
  2. Step 2: Convert to fraction form
    830.09/1,145.68 = 690.03/x
  3. Step 3: Cross multiply
    830.09x = 1,145.68 × 690.03
  4. Step 4: Simplify right side
    830.09x = 790,551.85
  5. Step 5: Solve for x
    x = 790,551.85/830.09
  6. Step 6: Final answer
    x = 952.37

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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.