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Finding the Fourth Proportional to 949.78, 1,421.70 and 603.51

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Solution

The fourth proportional to 949.78, 1,421.70 and 603.51 is: 903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.78 : 1,421.70 = 603.51 : x
  2. Step 2: Convert to fraction form
    949.78/1,421.70 = 603.51/x
  3. Step 3: Cross multiply
    949.78x = 1,421.70 × 603.51
  4. Step 4: Simplify right side
    949.78x = 858,003.06
  5. Step 5: Solve for x
    x = 858,003.06/949.78
  6. Step 6: Final answer
    x = 903.37

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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.