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Finding the Fourth Proportional to 1,945.53, 2,918.43 and 558.85

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Solution

The fourth proportional to 1,945.53, 2,918.43 and 558.85 is: 838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.53 : 2,918.43 = 558.85 : x
  2. Step 2: Convert to fraction form
    1,945.53/2,918.43 = 558.85/x
  3. Step 3: Cross multiply
    1,945.53x = 2,918.43 × 558.85
  4. Step 4: Simplify right side
    1,945.53x = 1,630,964.61
  5. Step 5: Solve for x
    x = 1,630,964.61/1,945.53
  6. Step 6: Final answer
    x = 838.32

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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.