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Finding the Fourth Proportional to 977.26, 1,466.34 and 611.95

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Solution

The fourth proportional to 977.26, 1,466.34 and 611.95 is: 918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.26 : 1,466.34 = 611.95 : x
  2. Step 2: Convert to fraction form
    977.26/1,466.34 = 611.95/x
  3. Step 3: Cross multiply
    977.26x = 1,466.34 × 611.95
  4. Step 4: Simplify right side
    977.26x = 897,326.76
  5. Step 5: Solve for x
    x = 897,326.76/977.26
  6. Step 6: Final answer
    x = 918.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.