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Finding the Fourth Proportional to 649.56, 973.72 and 302.76

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Solution

The fourth proportional to 649.56, 973.72 and 302.76 is: 453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 973.72 = 302.76 : x
  2. Step 2: Convert to fraction form
    649.56/973.72 = 302.76/x
  3. Step 3: Cross multiply
    649.56x = 973.72 × 302.76
  4. Step 4: Simplify right side
    649.56x = 294,803.47
  5. Step 5: Solve for x
    x = 294,803.47/649.56
  6. Step 6: Final answer
    x = 453.85

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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.