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Finding the Fourth Proportional to 977.74, 1,349.80 and 664.67

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Solution

The fourth proportional to 977.74, 1,349.80 and 664.67 is: 917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.74 : 1,349.80 = 664.67 : x
  2. Step 2: Convert to fraction form
    977.74/1,349.80 = 664.67/x
  3. Step 3: Cross multiply
    977.74x = 1,349.80 × 664.67
  4. Step 4: Simplify right side
    977.74x = 897,173.28
  5. Step 5: Solve for x
    x = 897,173.28/977.74
  6. Step 6: Final answer
    x = 917.60

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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.