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Finding the Fourth Proportional to 1,320.64, 1,977.28 and 670.01

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Solution

The fourth proportional to 1,320.64, 1,977.28 and 670.01 is: 1,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.64 : 1,977.28 = 670.01 : x
  2. Step 2: Convert to fraction form
    1,320.64/1,977.28 = 670.01/x
  3. Step 3: Cross multiply
    1,320.64x = 1,977.28 × 670.01
  4. Step 4: Simplify right side
    1,320.64x = 1,324,785.81
  5. Step 5: Solve for x
    x = 1,324,785.81/1,320.64
  6. Step 6: Final answer
    x = 1,003.14

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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.