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Finding the Fourth Proportional to 477.36, 719.29 and 392.59

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Solution

The fourth proportional to 477.36, 719.29 and 392.59 is: 591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 719.29 = 392.59 : x
  2. Step 2: Convert to fraction form
    477.36/719.29 = 392.59/x
  3. Step 3: Cross multiply
    477.36x = 719.29 × 392.59
  4. Step 4: Simplify right side
    477.36x = 282,384.88
  5. Step 5: Solve for x
    x = 282,384.88/477.36
  6. Step 6: Final answer
    x = 591.56

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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.