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Finding the Fourth Proportional to 952.15, 1,427.08 and 432.40

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Solution

The fourth proportional to 952.15, 1,427.08 and 432.40 is: 648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.15 : 1,427.08 = 432.40 : x
  2. Step 2: Convert to fraction form
    952.15/1,427.08 = 432.40/x
  3. Step 3: Cross multiply
    952.15x = 1,427.08 × 432.40
  4. Step 4: Simplify right side
    952.15x = 617,069.39
  5. Step 5: Solve for x
    x = 617,069.39/952.15
  6. Step 6: Final answer
    x = 648.08

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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.