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Finding the Fourth Proportional to 516.71, 770.99 and 465.01

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Solution

The fourth proportional to 516.71, 770.99 and 465.01 is: 693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.71 : 770.99 = 465.01 : x
  2. Step 2: Convert to fraction form
    516.71/770.99 = 465.01/x
  3. Step 3: Cross multiply
    516.71x = 770.99 × 465.01
  4. Step 4: Simplify right side
    516.71x = 358,513.81
  5. Step 5: Solve for x
    x = 358,513.81/516.71
  6. Step 6: Final answer
    x = 693.84

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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.