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Finding the Fourth Proportional to 651.13, 975.25 and 478.09

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Solution

The fourth proportional to 651.13, 975.25 and 478.09 is: 716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.13 : 975.25 = 478.09 : x
  2. Step 2: Convert to fraction form
    651.13/975.25 = 478.09/x
  3. Step 3: Cross multiply
    651.13x = 975.25 × 478.09
  4. Step 4: Simplify right side
    651.13x = 466,257.27
  5. Step 5: Solve for x
    x = 466,257.27/651.13
  6. Step 6: Final answer
    x = 716.07

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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.