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Finding the Fourth Proportional to 469.54, 647.76 and 322.36

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Solution

The fourth proportional to 469.54, 647.76 and 322.36 is: 444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.54 : 647.76 = 322.36 : x
  2. Step 2: Convert to fraction form
    469.54/647.76 = 322.36/x
  3. Step 3: Cross multiply
    469.54x = 647.76 × 322.36
  4. Step 4: Simplify right side
    469.54x = 208,811.91
  5. Step 5: Solve for x
    x = 208,811.91/469.54
  6. Step 6: Final answer
    x = 444.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.