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Finding the Fourth Proportional to 693.23, 961.03 and 656.24

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Solution

The fourth proportional to 693.23, 961.03 and 656.24 is: 909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 961.03 = 656.24 : x
  2. Step 2: Convert to fraction form
    693.23/961.03 = 656.24/x
  3. Step 3: Cross multiply
    693.23x = 961.03 × 656.24
  4. Step 4: Simplify right side
    693.23x = 630,662.34
  5. Step 5: Solve for x
    x = 630,662.34/693.23
  6. Step 6: Final answer
    x = 909.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.