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Finding the Fourth Proportional to 1,504.76, 2,075.97 and 945.04

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Solution

The fourth proportional to 1,504.76, 2,075.97 and 945.04 is: 1,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.76 : 2,075.97 = 945.04 : x
  2. Step 2: Convert to fraction form
    1,504.76/2,075.97 = 945.04/x
  3. Step 3: Cross multiply
    1,504.76x = 2,075.97 × 945.04
  4. Step 4: Simplify right side
    1,504.76x = 1,961,874.69
  5. Step 5: Solve for x
    x = 1,961,874.69/1,504.76
  6. Step 6: Final answer
    x = 1,303.78

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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.