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Finding the Fourth Proportional to 1,277.57, 1,764.79 and 1,001.30

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Solution

The fourth proportional to 1,277.57, 1,764.79 and 1,001.30 is: 1,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.57 : 1,764.79 = 1,001.30 : x
  2. Step 2: Convert to fraction form
    1,277.57/1,764.79 = 1,001.30/x
  3. Step 3: Cross multiply
    1,277.57x = 1,764.79 × 1,001.30
  4. Step 4: Simplify right side
    1,277.57x = 1,767,084.23
  5. Step 5: Solve for x
    x = 1,767,084.23/1,277.57
  6. Step 6: Final answer
    x = 1,383.16

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Half scale
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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.