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Finding the Fourth Proportional to 923.57, 1,384.34 and 649.59

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Solution

The fourth proportional to 923.57, 1,384.34 and 649.59 is: 973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.57 : 1,384.34 = 649.59 : x
  2. Step 2: Convert to fraction form
    923.57/1,384.34 = 649.59/x
  3. Step 3: Cross multiply
    923.57x = 1,384.34 × 649.59
  4. Step 4: Simplify right side
    923.57x = 899,253.42
  5. Step 5: Solve for x
    x = 899,253.42/923.57
  6. Step 6: Final answer
    x = 973.67

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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.