Home / 1,155.50-1,733.16-506.06

Finding the Fourth Proportional to 1,155.50, 1,733.16 and 506.06

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Solution

The fourth proportional to 1,155.50, 1,733.16 and 506.06 is: 759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.50 : 1,733.16 = 506.06 : x
  2. Step 2: Convert to fraction form
    1,155.50/1,733.16 = 506.06/x
  3. Step 3: Cross multiply
    1,155.50x = 1,733.16 × 506.06
  4. Step 4: Simplify right side
    1,155.50x = 877,082.95
  5. Step 5: Solve for x
    x = 877,082.95/1,155.50
  6. Step 6: Final answer
    x = 759.05

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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.