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Finding the Fourth Proportional to 1,440.41, 2,160.75 and 866.93

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Solution

The fourth proportional to 1,440.41, 2,160.75 and 866.93 is: 1,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.41 : 2,160.75 = 866.93 : x
  2. Step 2: Convert to fraction form
    1,440.41/2,160.75 = 866.93/x
  3. Step 3: Cross multiply
    1,440.41x = 2,160.75 × 866.93
  4. Step 4: Simplify right side
    1,440.41x = 1,873,219.00
  5. Step 5: Solve for x
    x = 1,873,219.00/1,440.41
  6. Step 6: Final answer
    x = 1,300.48

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1.5x scale

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.