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Finding the Fourth Proportional to 956.02, 1,321.74 and 735.70

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Solution

The fourth proportional to 956.02, 1,321.74 and 735.70 is: 1,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.02 : 1,321.74 = 735.70 : x
  2. Step 2: Convert to fraction form
    956.02/1,321.74 = 735.70/x
  3. Step 3: Cross multiply
    956.02x = 1,321.74 × 735.70
  4. Step 4: Simplify right side
    956.02x = 972,404.12
  5. Step 5: Solve for x
    x = 972,404.12/956.02
  6. Step 6: Final answer
    x = 1,017.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.