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Finding the Fourth Proportional to 477.92, 659.17 and 320.51

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Solution

The fourth proportional to 477.92, 659.17 and 320.51 is: 442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 659.17 = 320.51 : x
  2. Step 2: Convert to fraction form
    477.92/659.17 = 320.51/x
  3. Step 3: Cross multiply
    477.92x = 659.17 × 320.51
  4. Step 4: Simplify right side
    477.92x = 211,266.48
  5. Step 5: Solve for x
    x = 211,266.48/477.92
  6. Step 6: Final answer
    x = 442.05

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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.