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Finding the Fourth Proportional to 948.91, 1,421.52 and 536.80

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Solution

The fourth proportional to 948.91, 1,421.52 and 536.80 is: 804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.91 : 1,421.52 = 536.80 : x
  2. Step 2: Convert to fraction form
    948.91/1,421.52 = 536.80/x
  3. Step 3: Cross multiply
    948.91x = 1,421.52 × 536.80
  4. Step 4: Simplify right side
    948.91x = 763,071.94
  5. Step 5: Solve for x
    x = 763,071.94/948.91
  6. Step 6: Final answer
    x = 804.16

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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.