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Finding the Fourth Proportional to 700.50, 966.65 and 420.75

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Solution

The fourth proportional to 700.50, 966.65 and 420.75 is: 580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.50 : 966.65 = 420.75 : x
  2. Step 2: Convert to fraction form
    700.50/966.65 = 420.75/x
  3. Step 3: Cross multiply
    700.50x = 966.65 × 420.75
  4. Step 4: Simplify right side
    700.50x = 406,718.25
  5. Step 5: Solve for x
    x = 406,718.25/700.50
  6. Step 6: Final answer
    x = 580.61

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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.