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Finding the Fourth Proportional to 1,553, 2,330.64 and 783.56

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Solution

The fourth proportional to 1,553, 2,330.64 and 783.56 is: 1,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553 : 2,330.64 = 783.56 : x
  2. Step 2: Convert to fraction form
    1,553/2,330.64 = 783.56/x
  3. Step 3: Cross multiply
    1,553x = 2,330.64 × 783.56
  4. Step 4: Simplify right side
    1,553x = 1,826,196.28
  5. Step 5: Solve for x
    x = 1,826,196.28/1,553
  6. Step 6: Final answer
    x = 1,175.92

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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.