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Finding the Fourth Proportional to 677.65, 1,011.47 and 628.09

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Solution

The fourth proportional to 677.65, 1,011.47 and 628.09 is: 937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.65 : 1,011.47 = 628.09 : x
  2. Step 2: Convert to fraction form
    677.65/1,011.47 = 628.09/x
  3. Step 3: Cross multiply
    677.65x = 1,011.47 × 628.09
  4. Step 4: Simplify right side
    677.65x = 635,294.19
  5. Step 5: Solve for x
    x = 635,294.19/677.65
  6. Step 6: Final answer
    x = 937.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.