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Finding the Fourth Proportional to 1,980.26, 2,970.62 and 593.67

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Solution

The fourth proportional to 1,980.26, 2,970.62 and 593.67 is: 890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.26 : 2,970.62 = 593.67 : x
  2. Step 2: Convert to fraction form
    1,980.26/2,970.62 = 593.67/x
  3. Step 3: Cross multiply
    1,980.26x = 2,970.62 × 593.67
  4. Step 4: Simplify right side
    1,980.26x = 1,763,567.98
  5. Step 5: Solve for x
    x = 1,763,567.98/1,980.26
  6. Step 6: Final answer
    x = 890.57

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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.