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Finding the Fourth Proportional to 926.28, 1,277.90 and 594.65

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Solution

The fourth proportional to 926.28, 1,277.90 and 594.65 is: 820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.28 : 1,277.90 = 594.65 : x
  2. Step 2: Convert to fraction form
    926.28/1,277.90 = 594.65/x
  3. Step 3: Cross multiply
    926.28x = 1,277.90 × 594.65
  4. Step 4: Simplify right side
    926.28x = 759,900.26
  5. Step 5: Solve for x
    x = 759,900.26/926.28
  6. Step 6: Final answer
    x = 820.38

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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.