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Finding the Fourth Proportional to 693.45, 1,035.83 and 690.21

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Solution

The fourth proportional to 693.45, 1,035.83 and 690.21 is: 1,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.45 : 1,035.83 = 690.21 : x
  2. Step 2: Convert to fraction form
    693.45/1,035.83 = 690.21/x
  3. Step 3: Cross multiply
    693.45x = 1,035.83 × 690.21
  4. Step 4: Simplify right side
    693.45x = 714,941.95
  5. Step 5: Solve for x
    x = 714,941.95/693.45
  6. Step 6: Final answer
    x = 1,030.99

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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.