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Finding the Fourth Proportional to 561.63, 837.14 and 516.98

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Solution

The fourth proportional to 561.63, 837.14 and 516.98 is: 770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.63 : 837.14 = 516.98 : x
  2. Step 2: Convert to fraction form
    561.63/837.14 = 516.98/x
  3. Step 3: Cross multiply
    561.63x = 837.14 × 516.98
  4. Step 4: Simplify right side
    561.63x = 432,784.15
  5. Step 5: Solve for x
    x = 432,784.15/561.63
  6. Step 6: Final answer
    x = 770.58

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Double scale
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1.5x scale

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.