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Finding the Fourth Proportional to 803.74, 1,108.42 and 646.06

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Solution

The fourth proportional to 803.74, 1,108.42 and 646.06 is: 890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.74 : 1,108.42 = 646.06 : x
  2. Step 2: Convert to fraction form
    803.74/1,108.42 = 646.06/x
  3. Step 3: Cross multiply
    803.74x = 1,108.42 × 646.06
  4. Step 4: Simplify right side
    803.74x = 716,105.83
  5. Step 5: Solve for x
    x = 716,105.83/803.74
  6. Step 6: Final answer
    x = 890.97

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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.