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Finding the Fourth Proportional to 649.27, 973.39 and 374.87

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Solution

The fourth proportional to 649.27, 973.39 and 374.87 is: 562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 973.39 = 374.87 : x
  2. Step 2: Convert to fraction form
    649.27/973.39 = 374.87/x
  3. Step 3: Cross multiply
    649.27x = 973.39 × 374.87
  4. Step 4: Simplify right side
    649.27x = 364,888.75
  5. Step 5: Solve for x
    x = 364,888.75/649.27
  6. Step 6: Final answer
    x = 562.00

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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.