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Finding the Fourth Proportional to 975.46, 1,346.51 and 662.35

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Solution

The fourth proportional to 975.46, 1,346.51 and 662.35 is: 914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.46 : 1,346.51 = 662.35 : x
  2. Step 2: Convert to fraction form
    975.46/1,346.51 = 662.35/x
  3. Step 3: Cross multiply
    975.46x = 1,346.51 × 662.35
  4. Step 4: Simplify right side
    975.46x = 891,850.85
  5. Step 5: Solve for x
    x = 891,850.85/975.46
  6. Step 6: Final answer
    x = 914.29

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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.