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Finding the Fourth Proportional to 1,110.24, 1,663.50 and 785.01

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Solution

The fourth proportional to 1,110.24, 1,663.50 and 785.01 is: 1,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.24 : 1,663.50 = 785.01 : x
  2. Step 2: Convert to fraction form
    1,110.24/1,663.50 = 785.01/x
  3. Step 3: Cross multiply
    1,110.24x = 1,663.50 × 785.01
  4. Step 4: Simplify right side
    1,110.24x = 1,305,864.14
  5. Step 5: Solve for x
    x = 1,305,864.14/1,110.24
  6. Step 6: Final answer
    x = 1,176.20

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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.