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Finding the Fourth Proportional to 1,577.57, 2,365.56 and 919.67

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Solution

The fourth proportional to 1,577.57, 2,365.56 and 919.67 is: 1,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.57 : 2,365.56 = 919.67 : x
  2. Step 2: Convert to fraction form
    1,577.57/2,365.56 = 919.67/x
  3. Step 3: Cross multiply
    1,577.57x = 2,365.56 × 919.67
  4. Step 4: Simplify right side
    1,577.57x = 2,175,522.74
  5. Step 5: Solve for x
    x = 2,175,522.74/1,577.57
  6. Step 6: Final answer
    x = 1,379.04

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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.