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Finding the Fourth Proportional to 1,220.65, 1,684.49 and 661.12

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Solution

The fourth proportional to 1,220.65, 1,684.49 and 661.12 is: 912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.65 : 1,684.49 = 661.12 : x
  2. Step 2: Convert to fraction form
    1,220.65/1,684.49 = 661.12/x
  3. Step 3: Cross multiply
    1,220.65x = 1,684.49 × 661.12
  4. Step 4: Simplify right side
    1,220.65x = 1,113,650.03
  5. Step 5: Solve for x
    x = 1,113,650.03/1,220.65
  6. Step 6: Final answer
    x = 912.35

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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.