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Finding the Fourth Proportional to 952.17, 1,429.47 and 403.89

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Solution

The fourth proportional to 952.17, 1,429.47 and 403.89 is: 606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.17 : 1,429.47 = 403.89 : x
  2. Step 2: Convert to fraction form
    952.17/1,429.47 = 403.89/x
  3. Step 3: Cross multiply
    952.17x = 1,429.47 × 403.89
  4. Step 4: Simplify right side
    952.17x = 577,348.64
  5. Step 5: Solve for x
    x = 577,348.64/952.17
  6. Step 6: Final answer
    x = 606.35

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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.