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Finding the Fourth Proportional to 1,577.70, 2,366.73 and 653.37

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Solution

The fourth proportional to 1,577.70, 2,366.73 and 653.37 is: 980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.70 : 2,366.73 = 653.37 : x
  2. Step 2: Convert to fraction form
    1,577.70/2,366.73 = 653.37/x
  3. Step 3: Cross multiply
    1,577.70x = 2,366.73 × 653.37
  4. Step 4: Simplify right side
    1,577.70x = 1,546,350.38
  5. Step 5: Solve for x
    x = 1,546,350.38/1,577.70
  6. Step 6: Final answer
    x = 980.13

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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.