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Finding the Fourth Proportional to 477.63, 719.24 and 417.51

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Solution

The fourth proportional to 477.63, 719.24 and 417.51 is: 628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 719.24 = 417.51 : x
  2. Step 2: Convert to fraction form
    477.63/719.24 = 417.51/x
  3. Step 3: Cross multiply
    477.63x = 719.24 × 417.51
  4. Step 4: Simplify right side
    477.63x = 300,287.80
  5. Step 5: Solve for x
    x = 300,287.80/477.63
  6. Step 6: Final answer
    x = 628.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.