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Finding the Fourth Proportional to 1,114.61, 1,538.49 and 672.81

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Solution

The fourth proportional to 1,114.61, 1,538.49 and 672.81 is: 928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.61 : 1,538.49 = 672.81 : x
  2. Step 2: Convert to fraction form
    1,114.61/1,538.49 = 672.81/x
  3. Step 3: Cross multiply
    1,114.61x = 1,538.49 × 672.81
  4. Step 4: Simplify right side
    1,114.61x = 1,035,108.21
  5. Step 5: Solve for x
    x = 1,035,108.21/1,114.61
  6. Step 6: Final answer
    x = 928.67

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Why These Related Problems?

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