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Finding the Fourth Proportional to 651.60, 978.30 and 514.80

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Solution

The fourth proportional to 651.60, 978.30 and 514.80 is: 772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.60 : 978.30 = 514.80 : x
  2. Step 2: Convert to fraction form
    651.60/978.30 = 514.80/x
  3. Step 3: Cross multiply
    651.60x = 978.30 × 514.80
  4. Step 4: Simplify right side
    651.60x = 503,628.84
  5. Step 5: Solve for x
    x = 503,628.84/651.60
  6. Step 6: Final answer
    x = 772.91

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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.