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Finding the Fourth Proportional to 2,298.68, 3,446.99 and 654.85

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Solution

The fourth proportional to 2,298.68, 3,446.99 and 654.85 is: 981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.68 : 3,446.99 = 654.85 : x
  2. Step 2: Convert to fraction form
    2,298.68/3,446.99 = 654.85/x
  3. Step 3: Cross multiply
    2,298.68x = 3,446.99 × 654.85
  4. Step 4: Simplify right side
    2,298.68x = 2,257,261.40
  5. Step 5: Solve for x
    x = 2,257,261.40/2,298.68
  6. Step 6: Final answer
    x = 981.98

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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.