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Finding the Fourth Proportional to 923.55, 1,384.91 and 346.02

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Solution

The fourth proportional to 923.55, 1,384.91 and 346.02 is: 518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.55 : 1,384.91 = 346.02 : x
  2. Step 2: Convert to fraction form
    923.55/1,384.91 = 346.02/x
  3. Step 3: Cross multiply
    923.55x = 1,384.91 × 346.02
  4. Step 4: Simplify right side
    923.55x = 479,203.96
  5. Step 5: Solve for x
    x = 479,203.96/923.55
  6. Step 6: Final answer
    x = 518.87

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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.