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Finding the Fourth Proportional to 513.32, 707.81 and 373.19

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Solution

The fourth proportional to 513.32, 707.81 and 373.19 is: 514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.32 : 707.81 = 373.19 : x
  2. Step 2: Convert to fraction form
    513.32/707.81 = 373.19/x
  3. Step 3: Cross multiply
    513.32x = 707.81 × 373.19
  4. Step 4: Simplify right side
    513.32x = 264,142.21
  5. Step 5: Solve for x
    x = 264,142.21/513.32
  6. Step 6: Final answer
    x = 514.58

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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.