Home / 1,156.16-1,734.24-506.90

Finding the Fourth Proportional to 1,156.16, 1,734.24 and 506.90

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Solution

The fourth proportional to 1,156.16, 1,734.24 and 506.90 is: 760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.16 : 1,734.24 = 506.90 : x
  2. Step 2: Convert to fraction form
    1,156.16/1,734.24 = 506.90/x
  3. Step 3: Cross multiply
    1,156.16x = 1,734.24 × 506.90
  4. Step 4: Simplify right side
    1,156.16x = 879,086.26
  5. Step 5: Solve for x
    x = 879,086.26/1,156.16
  6. Step 6: Final answer
    x = 760.35

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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.