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Finding the Fourth Proportional to 1,039.58, 1,433.91 and 707.87

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Solution

The fourth proportional to 1,039.58, 1,433.91 and 707.87 is: 976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.58 : 1,433.91 = 707.87 : x
  2. Step 2: Convert to fraction form
    1,039.58/1,433.91 = 707.87/x
  3. Step 3: Cross multiply
    1,039.58x = 1,433.91 × 707.87
  4. Step 4: Simplify right side
    1,039.58x = 1,015,021.87
  5. Step 5: Solve for x
    x = 1,015,021.87/1,039.58
  6. Step 6: Final answer
    x = 976.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.