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Finding the Fourth Proportional to 477.84, 657.96 and 360

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Solution

The fourth proportional to 477.84, 657.96 and 360 is: 495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.84 : 657.96 = 360 : x
  2. Step 2: Convert to fraction form
    477.84/657.96 = 360/x
  3. Step 3: Cross multiply
    477.84x = 657.96 × 360
  4. Step 4: Simplify right side
    477.84x = 236,865.60
  5. Step 5: Solve for x
    x = 236,865.60/477.84
  6. Step 6: Final answer
    x = 495.70

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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.