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Finding the Fourth Proportional to 2,289.95, 3,434.93 and 558.57

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Solution

The fourth proportional to 2,289.95, 3,434.93 and 558.57 is: 837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.95 : 3,434.93 = 558.57 : x
  2. Step 2: Convert to fraction form
    2,289.95/3,434.93 = 558.57/x
  3. Step 3: Cross multiply
    2,289.95x = 3,434.93 × 558.57
  4. Step 4: Simplify right side
    2,289.95x = 1,918,648.85
  5. Step 5: Solve for x
    x = 1,918,648.85/2,289.95
  6. Step 6: Final answer
    x = 837.86

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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.