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Finding the Fourth Proportional to 704.37, 1,051.80 and 663.87

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Solution

The fourth proportional to 704.37, 1,051.80 and 663.87 is: 991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.37 : 1,051.80 = 663.87 : x
  2. Step 2: Convert to fraction form
    704.37/1,051.80 = 663.87/x
  3. Step 3: Cross multiply
    704.37x = 1,051.80 × 663.87
  4. Step 4: Simplify right side
    704.37x = 698,258.47
  5. Step 5: Solve for x
    x = 698,258.47/704.37
  6. Step 6: Final answer
    x = 991.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.