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Finding the Fourth Proportional to 795.16, 1,097.45 and 463.78

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Solution

The fourth proportional to 795.16, 1,097.45 and 463.78 is: 640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.16 : 1,097.45 = 463.78 : x
  2. Step 2: Convert to fraction form
    795.16/1,097.45 = 463.78/x
  3. Step 3: Cross multiply
    795.16x = 1,097.45 × 463.78
  4. Step 4: Simplify right side
    795.16x = 508,975.36
  5. Step 5: Solve for x
    x = 508,975.36/795.16
  6. Step 6: Final answer
    x = 640.09

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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.