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Finding the Fourth Proportional to 921.45, 1,381.53 and 434.25

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Solution

The fourth proportional to 921.45, 1,381.53 and 434.25 is: 651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.45 : 1,381.53 = 434.25 : x
  2. Step 2: Convert to fraction form
    921.45/1,381.53 = 434.25/x
  3. Step 3: Cross multiply
    921.45x = 1,381.53 × 434.25
  4. Step 4: Simplify right side
    921.45x = 599,929.40
  5. Step 5: Solve for x
    x = 599,929.40/921.45
  6. Step 6: Final answer
    x = 651.07

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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.