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Finding the Fourth Proportional to 649.94, 975.63 and 456.98

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Solution

The fourth proportional to 649.94, 975.63 and 456.98 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.94 : 975.63 = 456.98 : x
  2. Step 2: Convert to fraction form
    649.94/975.63 = 456.98/x
  3. Step 3: Cross multiply
    649.94x = 975.63 × 456.98
  4. Step 4: Simplify right side
    649.94x = 445,843.40
  5. Step 5: Solve for x
    x = 445,843.40/649.94
  6. Step 6: Final answer
    x = 685.98

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1.5x scale

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.