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Finding the Fourth Proportional to 699.77, 964.85 and 513.19

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Solution

The fourth proportional to 699.77, 964.85 and 513.19 is: 707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.77 : 964.85 = 513.19 : x
  2. Step 2: Convert to fraction form
    699.77/964.85 = 513.19/x
  3. Step 3: Cross multiply
    699.77x = 964.85 × 513.19
  4. Step 4: Simplify right side
    699.77x = 495,148.81
  5. Step 5: Solve for x
    x = 495,148.81/699.77
  6. Step 6: Final answer
    x = 707.59

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Why These Related Problems?

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