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Finding the Fourth Proportional to 803.87, 1,110.36 and 646.68

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Solution

The fourth proportional to 803.87, 1,110.36 and 646.68 is: 893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.87 : 1,110.36 = 646.68 : x
  2. Step 2: Convert to fraction form
    803.87/1,110.36 = 646.68/x
  3. Step 3: Cross multiply
    803.87x = 1,110.36 × 646.68
  4. Step 4: Simplify right side
    803.87x = 718,050.56
  5. Step 5: Solve for x
    x = 718,050.56/803.87
  6. Step 6: Final answer
    x = 893.24

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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.