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Finding the Fourth Proportional to 926.33, 1,388.58 and 463.41

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Solution

The fourth proportional to 926.33, 1,388.58 and 463.41 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.33 : 1,388.58 = 463.41 : x
  2. Step 2: Convert to fraction form
    926.33/1,388.58 = 463.41/x
  3. Step 3: Cross multiply
    926.33x = 1,388.58 × 463.41
  4. Step 4: Simplify right side
    926.33x = 643,481.86
  5. Step 5: Solve for x
    x = 643,481.86/926.33
  6. Step 6: Final answer
    x = 694.66

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1.5x scale

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.