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Finding the Fourth Proportional to 1,220.83, 1,684.33 and 689.63

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Solution

The fourth proportional to 1,220.83, 1,684.33 and 689.63 is: 951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.83 : 1,684.33 = 689.63 : x
  2. Step 2: Convert to fraction form
    1,220.83/1,684.33 = 689.63/x
  3. Step 3: Cross multiply
    1,220.83x = 1,684.33 × 689.63
  4. Step 4: Simplify right side
    1,220.83x = 1,161,566.98
  5. Step 5: Solve for x
    x = 1,161,566.98/1,220.83
  6. Step 6: Final answer
    x = 951.46

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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.