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Finding the Fourth Proportional to 956.02, 1,317.63 and 822.91

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Solution

The fourth proportional to 956.02, 1,317.63 and 822.91 is: 1,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.02 : 1,317.63 = 822.91 : x
  2. Step 2: Convert to fraction form
    956.02/1,317.63 = 822.91/x
  3. Step 3: Cross multiply
    956.02x = 1,317.63 × 822.91
  4. Step 4: Simplify right side
    956.02x = 1,084,290.90
  5. Step 5: Solve for x
    x = 1,084,290.90/956.02
  6. Step 6: Final answer
    x = 1,134.17

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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.