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Finding the Fourth Proportional to 651.01, 975.99 and 407.02

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Solution

The fourth proportional to 651.01, 975.99 and 407.02 is: 610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.01 : 975.99 = 407.02 : x
  2. Step 2: Convert to fraction form
    651.01/975.99 = 407.02/x
  3. Step 3: Cross multiply
    651.01x = 975.99 × 407.02
  4. Step 4: Simplify right side
    651.01x = 397,247.45
  5. Step 5: Solve for x
    x = 397,247.45/651.01
  6. Step 6: Final answer
    x = 610.20

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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.