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Finding the Fourth Proportional to 516.30, 778.02 and 491.58

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Solution

The fourth proportional to 516.30, 778.02 and 491.58 is: 740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 778.02 = 491.58 : x
  2. Step 2: Convert to fraction form
    516.30/778.02 = 491.58/x
  3. Step 3: Cross multiply
    516.30x = 778.02 × 491.58
  4. Step 4: Simplify right side
    516.30x = 382,459.07
  5. Step 5: Solve for x
    x = 382,459.07/516.30
  6. Step 6: Final answer
    x = 740.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.