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Finding the Fourth Proportional to 846.65, 1,272.10 and 538.64

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Solution

The fourth proportional to 846.65, 1,272.10 and 538.64 is: 809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.65 : 1,272.10 = 538.64 : x
  2. Step 2: Convert to fraction form
    846.65/1,272.10 = 538.64/x
  3. Step 3: Cross multiply
    846.65x = 1,272.10 × 538.64
  4. Step 4: Simplify right side
    846.65x = 685,203.94
  5. Step 5: Solve for x
    x = 685,203.94/846.65
  6. Step 6: Final answer
    x = 809.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.