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Finding the Fourth Proportional to 951.51, 1,311.75 and 656.22

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Solution

The fourth proportional to 951.51, 1,311.75 and 656.22 is: 904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.51 : 1,311.75 = 656.22 : x
  2. Step 2: Convert to fraction form
    951.51/1,311.75 = 656.22/x
  3. Step 3: Cross multiply
    951.51x = 1,311.75 × 656.22
  4. Step 4: Simplify right side
    951.51x = 860,796.59
  5. Step 5: Solve for x
    x = 860,796.59/951.51
  6. Step 6: Final answer
    x = 904.66

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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.