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Finding the Fourth Proportional to 693.29, 957.03 and 431.30

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Solution

The fourth proportional to 693.29, 957.03 and 431.30 is: 595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.29 : 957.03 = 431.30 : x
  2. Step 2: Convert to fraction form
    693.29/957.03 = 431.30/x
  3. Step 3: Cross multiply
    693.29x = 957.03 × 431.30
  4. Step 4: Simplify right side
    693.29x = 412,767.04
  5. Step 5: Solve for x
    x = 412,767.04/693.29
  6. Step 6: Final answer
    x = 595.37

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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.