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Finding the Fourth Proportional to 677.58, 934.08 and 583.92

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Solution

The fourth proportional to 677.58, 934.08 and 583.92 is: 804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.58 : 934.08 = 583.92 : x
  2. Step 2: Convert to fraction form
    677.58/934.08 = 583.92/x
  3. Step 3: Cross multiply
    677.58x = 934.08 × 583.92
  4. Step 4: Simplify right side
    677.58x = 545,427.99
  5. Step 5: Solve for x
    x = 545,427.99/677.58
  6. Step 6: Final answer
    x = 804.96

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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.