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Finding the Fourth Proportional to 678.20, 927.83 and 675.50

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Solution

The fourth proportional to 678.20, 927.83 and 675.50 is: 924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.20 : 927.83 = 675.50 : x
  2. Step 2: Convert to fraction form
    678.20/927.83 = 675.50/x
  3. Step 3: Cross multiply
    678.20x = 927.83 × 675.50
  4. Step 4: Simplify right side
    678.20x = 626,746.21
  5. Step 5: Solve for x
    x = 626,746.21/678.20
  6. Step 6: Final answer
    x = 924.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.