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Finding the Fourth Proportional to 943.42, 1,412.28 and 509.26

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Solution

The fourth proportional to 943.42, 1,412.28 and 509.26 is: 762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.42 : 1,412.28 = 509.26 : x
  2. Step 2: Convert to fraction form
    943.42/1,412.28 = 509.26/x
  3. Step 3: Cross multiply
    943.42x = 1,412.28 × 509.26
  4. Step 4: Simplify right side
    943.42x = 719,217.71
  5. Step 5: Solve for x
    x = 719,217.71/943.42
  6. Step 6: Final answer
    x = 762.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.