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Finding the Fourth Proportional to 952.68, 1,315.62 and 692.08

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Solution

The fourth proportional to 952.68, 1,315.62 and 692.08 is: 955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.68 : 1,315.62 = 692.08 : x
  2. Step 2: Convert to fraction form
    952.68/1,315.62 = 692.08/x
  3. Step 3: Cross multiply
    952.68x = 1,315.62 × 692.08
  4. Step 4: Simplify right side
    952.68x = 910,514.29
  5. Step 5: Solve for x
    x = 910,514.29/952.68
  6. Step 6: Final answer
    x = 955.74

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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.