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Finding the Fourth Proportional to 715.30, 986.38 and 505.38

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Solution

The fourth proportional to 715.30, 986.38 and 505.38 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.30 : 986.38 = 505.38 : x
  2. Step 2: Convert to fraction form
    715.30/986.38 = 505.38/x
  3. Step 3: Cross multiply
    715.30x = 986.38 × 505.38
  4. Step 4: Simplify right side
    715.30x = 498,496.72
  5. Step 5: Solve for x
    x = 498,496.72/715.30
  6. Step 6: Final answer
    x = 696.91

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Double scale
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1.5x scale

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.