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Finding the Fourth Proportional to 923.08, 1,384.30 and 436.52

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Solution

The fourth proportional to 923.08, 1,384.30 and 436.52 is: 654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,384.30 = 436.52 : x
  2. Step 2: Convert to fraction form
    923.08/1,384.30 = 436.52/x
  3. Step 3: Cross multiply
    923.08x = 1,384.30 × 436.52
  4. Step 4: Simplify right side
    923.08x = 604,274.64
  5. Step 5: Solve for x
    x = 604,274.64/923.08
  6. Step 6: Final answer
    x = 654.63

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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.