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Finding the Fourth Proportional to 650.30, 973.76 and 407.00

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Solution

The fourth proportional to 650.30, 973.76 and 407.00 is: 609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.30 : 973.76 = 407.00 : x
  2. Step 2: Convert to fraction form
    650.30/973.76 = 407.00/x
  3. Step 3: Cross multiply
    650.30x = 973.76 × 407.00
  4. Step 4: Simplify right side
    650.30x = 396,313.42
  5. Step 5: Solve for x
    x = 396,313.42/650.30
  6. Step 6: Final answer
    x = 609.44

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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.