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Finding the Fourth Proportional to 477.58, 719.87 and 436.54

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Solution

The fourth proportional to 477.58, 719.87 and 436.54 is: 658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.58 : 719.87 = 436.54 : x
  2. Step 2: Convert to fraction form
    477.58/719.87 = 436.54/x
  3. Step 3: Cross multiply
    477.58x = 719.87 × 436.54
  4. Step 4: Simplify right side
    477.58x = 314,252.05
  5. Step 5: Solve for x
    x = 314,252.05/477.58
  6. Step 6: Final answer
    x = 658.01

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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.