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Finding the Fourth Proportional to 693.04, 955.90 and 431.20

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Solution

The fourth proportional to 693.04, 955.90 and 431.20 is: 594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 955.90 = 431.20 : x
  2. Step 2: Convert to fraction form
    693.04/955.90 = 431.20/x
  3. Step 3: Cross multiply
    693.04x = 955.90 × 431.20
  4. Step 4: Simplify right side
    693.04x = 412,184.08
  5. Step 5: Solve for x
    x = 412,184.08/693.04
  6. Step 6: Final answer
    x = 594.75

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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.