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Finding the Fourth Proportional to 700.28, 966.42 and 420.53

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Solution

The fourth proportional to 700.28, 966.42 and 420.53 is: 580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.28 : 966.42 = 420.53 : x
  2. Step 2: Convert to fraction form
    700.28/966.42 = 420.53/x
  3. Step 3: Cross multiply
    700.28x = 966.42 × 420.53
  4. Step 4: Simplify right side
    700.28x = 406,408.60
  5. Step 5: Solve for x
    x = 406,408.60/700.28
  6. Step 6: Final answer
    x = 580.35

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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.