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Finding the Fourth Proportional to 690.18, 1,030.49 and 683.25

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Solution

The fourth proportional to 690.18, 1,030.49 and 683.25 is: 1,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.18 : 1,030.49 = 683.25 : x
  2. Step 2: Convert to fraction form
    690.18/1,030.49 = 683.25/x
  3. Step 3: Cross multiply
    690.18x = 1,030.49 × 683.25
  4. Step 4: Simplify right side
    690.18x = 704,078.88
  5. Step 5: Solve for x
    x = 704,078.88/690.18
  6. Step 6: Final answer
    x = 1,020.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.