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Finding the Fourth Proportional to 948.63, 1,421.56 and 536.89

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Solution

The fourth proportional to 948.63, 1,421.56 and 536.89 is: 804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.63 : 1,421.56 = 536.89 : x
  2. Step 2: Convert to fraction form
    948.63/1,421.56 = 536.89/x
  3. Step 3: Cross multiply
    948.63x = 1,421.56 × 536.89
  4. Step 4: Simplify right side
    948.63x = 763,221.35
  5. Step 5: Solve for x
    x = 763,221.35/948.63
  6. Step 6: Final answer
    x = 804.55

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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.