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Finding the Fourth Proportional to 513.03, 707.58 and 316.65

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Solution

The fourth proportional to 513.03, 707.58 and 316.65 is: 436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.03 : 707.58 = 316.65 : x
  2. Step 2: Convert to fraction form
    513.03/707.58 = 316.65/x
  3. Step 3: Cross multiply
    513.03x = 707.58 × 316.65
  4. Step 4: Simplify right side
    513.03x = 224,055.21
  5. Step 5: Solve for x
    x = 224,055.21/513.03
  6. Step 6: Final answer
    x = 436.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.