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Finding the Fourth Proportional to 923.93, 1,274.91 and 784.61

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Solution

The fourth proportional to 923.93, 1,274.91 and 784.61 is: 1,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.93 : 1,274.91 = 784.61 : x
  2. Step 2: Convert to fraction form
    923.93/1,274.91 = 784.61/x
  3. Step 3: Cross multiply
    923.93x = 1,274.91 × 784.61
  4. Step 4: Simplify right side
    923.93x = 1,000,307.14
  5. Step 5: Solve for x
    x = 1,000,307.14/923.93
  6. Step 6: Final answer
    x = 1,082.67

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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.