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Finding the Fourth Proportional to 651.85, 978.95 and 599.70

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Solution

The fourth proportional to 651.85, 978.95 and 599.70 is: 900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.85 : 978.95 = 599.70 : x
  2. Step 2: Convert to fraction form
    651.85/978.95 = 599.70/x
  3. Step 3: Cross multiply
    651.85x = 978.95 × 599.70
  4. Step 4: Simplify right side
    651.85x = 587,076.32
  5. Step 5: Solve for x
    x = 587,076.32/651.85
  6. Step 6: Final answer
    x = 900.63

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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.