Home / 1,106.18-1,658.70-490.07

Finding the Fourth Proportional to 1,106.18, 1,658.70 and 490.07

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Solution

The fourth proportional to 1,106.18, 1,658.70 and 490.07 is: 734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.18 : 1,658.70 = 490.07 : x
  2. Step 2: Convert to fraction form
    1,106.18/1,658.70 = 490.07/x
  3. Step 3: Cross multiply
    1,106.18x = 1,658.70 × 490.07
  4. Step 4: Simplify right side
    1,106.18x = 812,880.33
  5. Step 5: Solve for x
    x = 812,880.33/1,106.18
  6. Step 6: Final answer
    x = 734.86

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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.