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Finding the Fourth Proportional to 651.28, 977.36 and 609.80

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Solution

The fourth proportional to 651.28, 977.36 and 609.80 is: 915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.28 : 977.36 = 609.80 : x
  2. Step 2: Convert to fraction form
    651.28/977.36 = 609.80/x
  3. Step 3: Cross multiply
    651.28x = 977.36 × 609.80
  4. Step 4: Simplify right side
    651.28x = 595,994.13
  5. Step 5: Solve for x
    x = 595,994.13/651.28
  6. Step 6: Final answer
    x = 915.11

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Why These Related Problems?

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