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Finding the Fourth Proportional to 513.32, 709.00 and 509.72

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Solution

The fourth proportional to 513.32, 709.00 and 509.72 is: 704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.32 : 709.00 = 509.72 : x
  2. Step 2: Convert to fraction form
    513.32/709.00 = 509.72/x
  3. Step 3: Cross multiply
    513.32x = 709.00 × 509.72
  4. Step 4: Simplify right side
    513.32x = 361,386.66
  5. Step 5: Solve for x
    x = 361,386.66/513.32
  6. Step 6: Final answer
    x = 704.03

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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.