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Finding the Fourth Proportional to 470.59, 647.79 and 408.05

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Solution

The fourth proportional to 470.59, 647.79 and 408.05 is: 561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.59 : 647.79 = 408.05 : x
  2. Step 2: Convert to fraction form
    470.59/647.79 = 408.05/x
  3. Step 3: Cross multiply
    470.59x = 647.79 × 408.05
  4. Step 4: Simplify right side
    470.59x = 264,330.71
  5. Step 5: Solve for x
    x = 264,330.71/470.59
  6. Step 6: Final answer
    x = 561.70

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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.