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Finding the Fourth Proportional to 1,980.19, 2,970.27 and 593.50

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Solution

The fourth proportional to 1,980.19, 2,970.27 and 593.50 is: 890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.19 : 2,970.27 = 593.50 : x
  2. Step 2: Convert to fraction form
    1,980.19/2,970.27 = 593.50/x
  3. Step 3: Cross multiply
    1,980.19x = 2,970.27 × 593.50
  4. Step 4: Simplify right side
    1,980.19x = 1,762,855.25
  5. Step 5: Solve for x
    x = 1,762,855.25/1,980.19
  6. Step 6: Final answer
    x = 890.25

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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.