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Finding the Fourth Proportional to 513.79, 709.10 and 470.05

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Solution

The fourth proportional to 513.79, 709.10 and 470.05 is: 648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.79 : 709.10 = 470.05 : x
  2. Step 2: Convert to fraction form
    513.79/709.10 = 470.05/x
  3. Step 3: Cross multiply
    513.79x = 709.10 × 470.05
  4. Step 4: Simplify right side
    513.79x = 333,312.46
  5. Step 5: Solve for x
    x = 333,312.46/513.79
  6. Step 6: Final answer
    x = 648.73

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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.