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Finding the Fourth Proportional to 477.68, 715.85 and 419.77

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Solution

The fourth proportional to 477.68, 715.85 and 419.77 is: 629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.68 : 715.85 = 419.77 : x
  2. Step 2: Convert to fraction form
    477.68/715.85 = 419.77/x
  3. Step 3: Cross multiply
    477.68x = 715.85 × 419.77
  4. Step 4: Simplify right side
    477.68x = 300,486.68
  5. Step 5: Solve for x
    x = 300,486.68/477.68
  6. Step 6: Final answer
    x = 629.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.