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Finding the Fourth Proportional to 477.84, 657.90 and 421.78

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Solution

The fourth proportional to 477.84, 657.90 and 421.78 is: 580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.84 : 657.90 = 421.78 : x
  2. Step 2: Convert to fraction form
    477.84/657.90 = 421.78/x
  3. Step 3: Cross multiply
    477.84x = 657.90 × 421.78
  4. Step 4: Simplify right side
    477.84x = 277,489.06
  5. Step 5: Solve for x
    x = 277,489.06/477.84
  6. Step 6: Final answer
    x = 580.72

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