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Finding the Fourth Proportional to 513.07, 707.22 and 470.69

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Solution

The fourth proportional to 513.07, 707.22 and 470.69 is: 648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.07 : 707.22 = 470.69 : x
  2. Step 2: Convert to fraction form
    513.07/707.22 = 470.69/x
  3. Step 3: Cross multiply
    513.07x = 707.22 × 470.69
  4. Step 4: Simplify right side
    513.07x = 332,881.38
  5. Step 5: Solve for x
    x = 332,881.38/513.07
  6. Step 6: Final answer
    x = 648.80

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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.