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Finding the Fourth Proportional to 663.14, 914.75 and 430.27

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Solution

The fourth proportional to 663.14, 914.75 and 430.27 is: 593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.14 : 914.75 = 430.27 : x
  2. Step 2: Convert to fraction form
    663.14/914.75 = 430.27/x
  3. Step 3: Cross multiply
    663.14x = 914.75 × 430.27
  4. Step 4: Simplify right side
    663.14x = 393,589.48
  5. Step 5: Solve for x
    x = 393,589.48/663.14
  6. Step 6: Final answer
    x = 593.52

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1.5x scale

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.