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Finding the Fourth Proportional to 693.60, 956.71 and 431.60

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Solution

The fourth proportional to 693.60, 956.71 and 431.60 is: 595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.60 : 956.71 = 431.60 : x
  2. Step 2: Convert to fraction form
    693.60/956.71 = 431.60/x
  3. Step 3: Cross multiply
    693.60x = 956.71 × 431.60
  4. Step 4: Simplify right side
    693.60x = 412,911.79
  5. Step 5: Solve for x
    x = 412,911.79/693.60
  6. Step 6: Final answer
    x = 595.32

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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.