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Finding the Fourth Proportional to 477.14, 657.86 and 407.07

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Solution

The fourth proportional to 477.14, 657.86 and 407.07 is: 561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 657.86 = 407.07 : x
  2. Step 2: Convert to fraction form
    477.14/657.86 = 407.07/x
  3. Step 3: Cross multiply
    477.14x = 657.86 × 407.07
  4. Step 4: Simplify right side
    477.14x = 267,793.03
  5. Step 5: Solve for x
    x = 267,793.03/477.14
  6. Step 6: Final answer
    x = 561.25

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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.