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Finding the Fourth Proportional to 693.71, 957.04 and 431.58

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Solution

The fourth proportional to 693.71, 957.04 and 431.58 is: 595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.71 : 957.04 = 431.58 : x
  2. Step 2: Convert to fraction form
    693.71/957.04 = 431.58/x
  3. Step 3: Cross multiply
    693.71x = 957.04 × 431.58
  4. Step 4: Simplify right side
    693.71x = 413,037.66
  5. Step 5: Solve for x
    x = 413,037.66/693.71
  6. Step 6: Final answer
    x = 595.40

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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.