Home / 1,156.36-1,734.54-506.96

Finding the Fourth Proportional to 1,156.36, 1,734.54 and 506.96

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Solution

The fourth proportional to 1,156.36, 1,734.54 and 506.96 is: 760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.36 : 1,734.54 = 506.96 : x
  2. Step 2: Convert to fraction form
    1,156.36/1,734.54 = 506.96/x
  3. Step 3: Cross multiply
    1,156.36x = 1,734.54 × 506.96
  4. Step 4: Simplify right side
    1,156.36x = 879,342.40
  5. Step 5: Solve for x
    x = 879,342.40/1,156.36
  6. Step 6: Final answer
    x = 760.44

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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.