Home / 1,155.42-1,733.27-506.07

Finding the Fourth Proportional to 1,155.42, 1,733.27 and 506.07

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Solution

The fourth proportional to 1,155.42, 1,733.27 and 506.07 is: 759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.42 : 1,733.27 = 506.07 : x
  2. Step 2: Convert to fraction form
    1,155.42/1,733.27 = 506.07/x
  3. Step 3: Cross multiply
    1,155.42x = 1,733.27 × 506.07
  4. Step 4: Simplify right side
    1,155.42x = 877,153.42
  5. Step 5: Solve for x
    x = 877,153.42/1,155.42
  6. Step 6: Final answer
    x = 759.16

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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.