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Finding the Fourth Proportional to 477.07, 659.09 and 407.85

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Solution

The fourth proportional to 477.07, 659.09 and 407.85 is: 563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.07 : 659.09 = 407.85 : x
  2. Step 2: Convert to fraction form
    477.07/659.09 = 407.85/x
  3. Step 3: Cross multiply
    477.07x = 659.09 × 407.85
  4. Step 4: Simplify right side
    477.07x = 268,809.86
  5. Step 5: Solve for x
    x = 268,809.86/477.07
  6. Step 6: Final answer
    x = 563.46

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Why These Related Problems?

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