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Finding the Fourth Proportional to 956.24, 1,435.06 and 379.28

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Solution

The fourth proportional to 956.24, 1,435.06 and 379.28 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.24 : 1,435.06 = 379.28 : x
  2. Step 2: Convert to fraction form
    956.24/1,435.06 = 379.28/x
  3. Step 3: Cross multiply
    956.24x = 1,435.06 × 379.28
  4. Step 4: Simplify right side
    956.24x = 544,289.56
  5. Step 5: Solve for x
    x = 544,289.56/956.24
  6. Step 6: Final answer
    x = 569.20

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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.