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Finding the Fourth Proportional to 1,970.23, 2,954.60 and 653.59

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Solution

The fourth proportional to 1,970.23, 2,954.60 and 653.59 is: 980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.23 : 2,954.60 = 653.59 : x
  2. Step 2: Convert to fraction form
    1,970.23/2,954.60 = 653.59/x
  3. Step 3: Cross multiply
    1,970.23x = 2,954.60 × 653.59
  4. Step 4: Simplify right side
    1,970.23x = 1,931,097.01
  5. Step 5: Solve for x
    x = 1,931,097.01/1,970.23
  6. Step 6: Final answer
    x = 980.14

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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.