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Finding the Fourth Proportional to 2,334.13, 3,499.95 and 690.45

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Solution

The fourth proportional to 2,334.13, 3,499.95 and 690.45 is: 1,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.13 : 3,499.95 = 690.45 : x
  2. Step 2: Convert to fraction form
    2,334.13/3,499.95 = 690.45/x
  3. Step 3: Cross multiply
    2,334.13x = 3,499.95 × 690.45
  4. Step 4: Simplify right side
    2,334.13x = 2,416,522.98
  5. Step 5: Solve for x
    x = 2,416,522.98/2,334.13
  6. Step 6: Final answer
    x = 1,035.30

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1.5x scale

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.