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Finding the Fourth Proportional to 649.86, 973.49 and 302.72

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Solution

The fourth proportional to 649.86, 973.49 and 302.72 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.86 : 973.49 = 302.72 : x
  2. Step 2: Convert to fraction form
    649.86/973.49 = 302.72/x
  3. Step 3: Cross multiply
    649.86x = 973.49 × 302.72
  4. Step 4: Simplify right side
    649.86x = 294,688.51
  5. Step 5: Solve for x
    x = 294,688.51/649.86
  6. Step 6: Final answer
    x = 453.46

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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.