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Finding the Fourth Proportional to 613.54, 916.45 and 516.34

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Solution

The fourth proportional to 613.54, 916.45 and 516.34 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.54 : 916.45 = 516.34 : x
  2. Step 2: Convert to fraction form
    613.54/916.45 = 516.34/x
  3. Step 3: Cross multiply
    613.54x = 916.45 × 516.34
  4. Step 4: Simplify right side
    613.54x = 473,199.79
  5. Step 5: Solve for x
    x = 473,199.79/613.54
  6. Step 6: Final answer
    x = 771.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.