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Finding the Fourth Proportional to 1,055.21, 1,455.50 and 661.55

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Solution

The fourth proportional to 1,055.21, 1,455.50 and 661.55 is: 912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.21 : 1,455.50 = 661.55 : x
  2. Step 2: Convert to fraction form
    1,055.21/1,455.50 = 661.55/x
  3. Step 3: Cross multiply
    1,055.21x = 1,455.50 × 661.55
  4. Step 4: Simplify right side
    1,055.21x = 962,880.40
  5. Step 5: Solve for x
    x = 962,880.40/1,055.21
  6. Step 6: Final answer
    x = 912.51

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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.