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Finding the Fourth Proportional to 1,000.80, 1,380.56 and 607.77

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Solution

The fourth proportional to 1,000.80, 1,380.56 and 607.77 is: 838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.80 : 1,380.56 = 607.77 : x
  2. Step 2: Convert to fraction form
    1,000.80/1,380.56 = 607.77/x
  3. Step 3: Cross multiply
    1,000.80x = 1,380.56 × 607.77
  4. Step 4: Simplify right side
    1,000.80x = 839,059.91
  5. Step 5: Solve for x
    x = 839,059.91/1,000.80
  6. Step 6: Final answer
    x = 838.39

Related Problems

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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.