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Finding the Fourth Proportional to 941.64, 1,412.77 and 421.99

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Solution

The fourth proportional to 941.64, 1,412.77 and 421.99 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.64 : 1,412.77 = 421.99 : x
  2. Step 2: Convert to fraction form
    941.64/1,412.77 = 421.99/x
  3. Step 3: Cross multiply
    941.64x = 1,412.77 × 421.99
  4. Step 4: Simplify right side
    941.64x = 596,174.81
  5. Step 5: Solve for x
    x = 596,174.81/941.64
  6. Step 6: Final answer
    x = 633.12

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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.