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Finding the Fourth Proportional to 477.61, 659.37 and 320.50

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Solution

The fourth proportional to 477.61, 659.37 and 320.50 is: 442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.61 : 659.37 = 320.50 : x
  2. Step 2: Convert to fraction form
    477.61/659.37 = 320.50/x
  3. Step 3: Cross multiply
    477.61x = 659.37 × 320.50
  4. Step 4: Simplify right side
    477.61x = 211,328.09
  5. Step 5: Solve for x
    x = 211,328.09/477.61
  6. Step 6: Final answer
    x = 442.47

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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.