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Finding the Fourth Proportional to 1,113.40, 1,670.39 and 333.42

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Solution

The fourth proportional to 1,113.40, 1,670.39 and 333.42 is: 500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.40 : 1,670.39 = 333.42 : x
  2. Step 2: Convert to fraction form
    1,113.40/1,670.39 = 333.42/x
  3. Step 3: Cross multiply
    1,113.40x = 1,670.39 × 333.42
  4. Step 4: Simplify right side
    1,113.40x = 556,941.43
  5. Step 5: Solve for x
    x = 556,941.43/1,113.40
  6. Step 6: Final answer
    x = 500.22

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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.