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Finding the Fourth Proportional to 952.40, 1,312.80 and 786.08

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Solution

The fourth proportional to 952.40, 1,312.80 and 786.08 is: 1,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.40 : 1,312.80 = 786.08 : x
  2. Step 2: Convert to fraction form
    952.40/1,312.80 = 786.08/x
  3. Step 3: Cross multiply
    952.40x = 1,312.80 × 786.08
  4. Step 4: Simplify right side
    952.40x = 1,031,965.82
  5. Step 5: Solve for x
    x = 1,031,965.82/952.40
  6. Step 6: Final answer
    x = 1,083.54

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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.