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Finding the Fourth Proportional to 943.78, 1,302.45 and 524.13

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Solution

The fourth proportional to 943.78, 1,302.45 and 524.13 is: 723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.78 : 1,302.45 = 524.13 : x
  2. Step 2: Convert to fraction form
    943.78/1,302.45 = 524.13/x
  3. Step 3: Cross multiply
    943.78x = 1,302.45 × 524.13
  4. Step 4: Simplify right side
    943.78x = 682,653.46
  5. Step 5: Solve for x
    x = 682,653.46/943.78
  6. Step 6: Final answer
    x = 723.32

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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.