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Finding the Fourth Proportional to 687.58, 948.87 and 377.08

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Solution

The fourth proportional to 687.58, 948.87 and 377.08 is: 520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.58 : 948.87 = 377.08 : x
  2. Step 2: Convert to fraction form
    687.58/948.87 = 377.08/x
  3. Step 3: Cross multiply
    687.58x = 948.87 × 377.08
  4. Step 4: Simplify right side
    687.58x = 357,799.90
  5. Step 5: Solve for x
    x = 357,799.90/687.58
  6. Step 6: Final answer
    x = 520.38

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Half scale
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Double scale
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1.5x scale

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.