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Finding the Fourth Proportional to 696.06, 959.99 and 430.38

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Solution

The fourth proportional to 696.06, 959.99 and 430.38 is: 593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.06 : 959.99 = 430.38 : x
  2. Step 2: Convert to fraction form
    696.06/959.99 = 430.38/x
  3. Step 3: Cross multiply
    696.06x = 959.99 × 430.38
  4. Step 4: Simplify right side
    696.06x = 413,158.34
  5. Step 5: Solve for x
    x = 413,158.34/696.06
  6. Step 6: Final answer
    x = 593.57

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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.