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Finding the Fourth Proportional to 1,506.94, 2,260.22 and 641.46

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Solution

The fourth proportional to 1,506.94, 2,260.22 and 641.46 is: 962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.94 : 2,260.22 = 641.46 : x
  2. Step 2: Convert to fraction form
    1,506.94/2,260.22 = 641.46/x
  3. Step 3: Cross multiply
    1,506.94x = 2,260.22 × 641.46
  4. Step 4: Simplify right side
    1,506.94x = 1,449,840.72
  5. Step 5: Solve for x
    x = 1,449,840.72/1,506.94
  6. Step 6: Final answer
    x = 962.11

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1.5x scale

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.