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Finding the Fourth Proportional to 1,449.75, 2,000.58 and 786.58

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Solution

The fourth proportional to 1,449.75, 2,000.58 and 786.58 is: 1,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.75 : 2,000.58 = 786.58 : x
  2. Step 2: Convert to fraction form
    1,449.75/2,000.58 = 786.58/x
  3. Step 3: Cross multiply
    1,449.75x = 2,000.58 × 786.58
  4. Step 4: Simplify right side
    1,449.75x = 1,573,623.94
  5. Step 5: Solve for x
    x = 1,573,623.94/1,449.75
  6. Step 6: Final answer
    x = 1,085.45

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.