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Finding the Fourth Proportional to 699.95, 965.58 and 420.05

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Solution

The fourth proportional to 699.95, 965.58 and 420.05 is: 579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.95 : 965.58 = 420.05 : x
  2. Step 2: Convert to fraction form
    699.95/965.58 = 420.05/x
  3. Step 3: Cross multiply
    699.95x = 965.58 × 420.05
  4. Step 4: Simplify right side
    699.95x = 405,587.05
  5. Step 5: Solve for x
    x = 405,587.05/699.95
  6. Step 6: Final answer
    x = 579.46

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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.