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Finding the Fourth Proportional to 1,757.69, 2,425.85 and 1,011.63

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Solution

The fourth proportional to 1,757.69, 2,425.85 and 1,011.63 is: 1,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.69 : 2,425.85 = 1,011.63 : x
  2. Step 2: Convert to fraction form
    1,757.69/2,425.85 = 1,011.63/x
  3. Step 3: Cross multiply
    1,757.69x = 2,425.85 × 1,011.63
  4. Step 4: Simplify right side
    1,757.69x = 2,454,071.23
  5. Step 5: Solve for x
    x = 2,454,071.23/1,757.69
  6. Step 6: Final answer
    x = 1,396.19

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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.