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Finding the Fourth Proportional to 1,605.36, 2,407.20 and 783.78

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Solution

The fourth proportional to 1,605.36, 2,407.20 and 783.78 is: 1,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.36 : 2,407.20 = 783.78 : x
  2. Step 2: Convert to fraction form
    1,605.36/2,407.20 = 783.78/x
  3. Step 3: Cross multiply
    1,605.36x = 2,407.20 × 783.78
  4. Step 4: Simplify right side
    1,605.36x = 1,886,715.22
  5. Step 5: Solve for x
    x = 1,886,715.22/1,605.36
  6. Step 6: Final answer
    x = 1,175.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.