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Finding the Fourth Proportional to 795.72, 1,097.10 and 656.40

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Solution

The fourth proportional to 795.72, 1,097.10 and 656.40 is: 905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.72 : 1,097.10 = 656.40 : x
  2. Step 2: Convert to fraction form
    795.72/1,097.10 = 656.40/x
  3. Step 3: Cross multiply
    795.72x = 1,097.10 × 656.40
  4. Step 4: Simplify right side
    795.72x = 720,136.44
  5. Step 5: Solve for x
    x = 720,136.44/795.72
  6. Step 6: Final answer
    x = 905.01

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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.