Home / 1,153.94-1,731.30-505.10

Finding the Fourth Proportional to 1,153.94, 1,731.30 and 505.10

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Solution

The fourth proportional to 1,153.94, 1,731.30 and 505.10 is: 757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.94 : 1,731.30 = 505.10 : x
  2. Step 2: Convert to fraction form
    1,153.94/1,731.30 = 505.10/x
  3. Step 3: Cross multiply
    1,153.94x = 1,731.30 × 505.10
  4. Step 4: Simplify right side
    1,153.94x = 874,479.63
  5. Step 5: Solve for x
    x = 874,479.63/1,153.94
  6. Step 6: Final answer
    x = 757.82

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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.