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Finding the Fourth Proportional to 956.44, 1,433.50 and 468.40

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Solution

The fourth proportional to 956.44, 1,433.50 and 468.40 is: 702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.44 : 1,433.50 = 468.40 : x
  2. Step 2: Convert to fraction form
    956.44/1,433.50 = 468.40/x
  3. Step 3: Cross multiply
    956.44x = 1,433.50 × 468.40
  4. Step 4: Simplify right side
    956.44x = 671,451.40
  5. Step 5: Solve for x
    x = 671,451.40/956.44
  6. Step 6: Final answer
    x = 702.03

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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.