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Finding the Fourth Proportional to 952.80, 1,427.58 and 587.76

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Solution

The fourth proportional to 952.80, 1,427.58 and 587.76 is: 880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.80 : 1,427.58 = 587.76 : x
  2. Step 2: Convert to fraction form
    952.80/1,427.58 = 587.76/x
  3. Step 3: Cross multiply
    952.80x = 1,427.58 × 587.76
  4. Step 4: Simplify right side
    952.80x = 839,074.42
  5. Step 5: Solve for x
    x = 839,074.42/952.80
  6. Step 6: Final answer
    x = 880.64

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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.