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Finding the Fourth Proportional to 846.48, 1,271.85 and 538.47

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Solution

The fourth proportional to 846.48, 1,271.85 and 538.47 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.48 : 1,271.85 = 538.47 : x
  2. Step 2: Convert to fraction form
    846.48/1,271.85 = 538.47/x
  3. Step 3: Cross multiply
    846.48x = 1,271.85 × 538.47
  4. Step 4: Simplify right side
    846.48x = 684,853.07
  5. Step 5: Solve for x
    x = 684,853.07/846.48
  6. Step 6: Final answer
    x = 809.06

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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.