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Finding the Fourth Proportional to 900, 1,242.12 and 589.68

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Solution

The fourth proportional to 900, 1,242.12 and 589.68 is: 813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    900 : 1,242.12 = 589.68 : x
  2. Step 2: Convert to fraction form
    900/1,242.12 = 589.68/x
  3. Step 3: Cross multiply
    900x = 1,242.12 × 589.68
  4. Step 4: Simplify right side
    900x = 732,453.32
  5. Step 5: Solve for x
    x = 732,453.32/900
  6. Step 6: Final answer
    x = 813.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.