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Finding the Fourth Proportional to 1,131.53, 1,561.64 and 689.45

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Solution

The fourth proportional to 1,131.53, 1,561.64 and 689.45 is: 951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.53 : 1,561.64 = 689.45 : x
  2. Step 2: Convert to fraction form
    1,131.53/1,561.64 = 689.45/x
  3. Step 3: Cross multiply
    1,131.53x = 1,561.64 × 689.45
  4. Step 4: Simplify right side
    1,131.53x = 1,076,661.44
  5. Step 5: Solve for x
    x = 1,076,661.44/1,131.53
  6. Step 6: Final answer
    x = 951.51

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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.