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Finding the Fourth Proportional to 654.88, 977.80 and 650.08

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Solution

The fourth proportional to 654.88, 977.80 and 650.08 is: 970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.88 : 977.80 = 650.08 : x
  2. Step 2: Convert to fraction form
    654.88/977.80 = 650.08/x
  3. Step 3: Cross multiply
    654.88x = 977.80 × 650.08
  4. Step 4: Simplify right side
    654.88x = 635,648.22
  5. Step 5: Solve for x
    x = 635,648.22/654.88
  6. Step 6: Final answer
    x = 970.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.