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Finding the Fourth Proportional to 699.99, 966.05 and 420.30

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Solution

The fourth proportional to 699.99, 966.05 and 420.30 is: 580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.99 : 966.05 = 420.30 : x
  2. Step 2: Convert to fraction form
    699.99/966.05 = 420.30/x
  3. Step 3: Cross multiply
    699.99x = 966.05 × 420.30
  4. Step 4: Simplify right side
    699.99x = 406,028.71
  5. Step 5: Solve for x
    x = 406,028.71/699.99
  6. Step 6: Final answer
    x = 580.05

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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.