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Finding the Fourth Proportional to 650.45, 975.68 and 469.00

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Solution

The fourth proportional to 650.45, 975.68 and 469.00 is: 703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.45 : 975.68 = 469.00 : x
  2. Step 2: Convert to fraction form
    650.45/975.68 = 469.00/x
  3. Step 3: Cross multiply
    650.45x = 975.68 × 469.00
  4. Step 4: Simplify right side
    650.45x = 457,586.70
  5. Step 5: Solve for x
    x = 457,586.70/650.45
  6. Step 6: Final answer
    x = 703.49

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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.