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Finding the Fourth Proportional to 811.11, 1,118.64 and 500.07

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Solution

The fourth proportional to 811.11, 1,118.64 and 500.07 is: 689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.11 : 1,118.64 = 500.07 : x
  2. Step 2: Convert to fraction form
    811.11/1,118.64 = 500.07/x
  3. Step 3: Cross multiply
    811.11x = 1,118.64 × 500.07
  4. Step 4: Simplify right side
    811.11x = 559,398.30
  5. Step 5: Solve for x
    x = 559,398.30/811.11
  6. Step 6: Final answer
    x = 689.67

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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.