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Finding the Fourth Proportional to 945, 1,304.10 and 531.08

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Solution

The fourth proportional to 945, 1,304.10 and 531.08 is: 732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,304.10 = 531.08 : x
  2. Step 2: Convert to fraction form
    945/1,304.10 = 531.08/x
  3. Step 3: Cross multiply
    945x = 1,304.10 × 531.08
  4. Step 4: Simplify right side
    945x = 692,581.43
  5. Step 5: Solve for x
    x = 692,581.43/945
  6. Step 6: Final answer
    x = 732.89

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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.