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Finding the Fourth Proportional to 1,225.64, 1,690.16 and 783.38

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Solution

The fourth proportional to 1,225.64, 1,690.16 and 783.38 is: 1,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.64 : 1,690.16 = 783.38 : x
  2. Step 2: Convert to fraction form
    1,225.64/1,690.16 = 783.38/x
  3. Step 3: Cross multiply
    1,225.64x = 1,690.16 × 783.38
  4. Step 4: Simplify right side
    1,225.64x = 1,324,025.17
  5. Step 5: Solve for x
    x = 1,324,025.17/1,225.64
  6. Step 6: Final answer
    x = 1,080.28

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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.