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Finding the Fourth Proportional to 1,113.70, 1,670.53 and 333.70

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Solution

The fourth proportional to 1,113.70, 1,670.53 and 333.70 is: 500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.70 : 1,670.53 = 333.70 : x
  2. Step 2: Convert to fraction form
    1,113.70/1,670.53 = 333.70/x
  3. Step 3: Cross multiply
    1,113.70x = 1,670.53 × 333.70
  4. Step 4: Simplify right side
    1,113.70x = 557,455.86
  5. Step 5: Solve for x
    x = 557,455.86/1,113.70
  6. Step 6: Final answer
    x = 500.54

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Double scale
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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.