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Finding the Fourth Proportional to 926.50, 1,277.78 and 594.82

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Solution

The fourth proportional to 926.50, 1,277.78 and 594.82 is: 820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.50 : 1,277.78 = 594.82 : x
  2. Step 2: Convert to fraction form
    926.50/1,277.78 = 594.82/x
  3. Step 3: Cross multiply
    926.50x = 1,277.78 × 594.82
  4. Step 4: Simplify right side
    926.50x = 760,049.10
  5. Step 5: Solve for x
    x = 760,049.10/926.50
  6. Step 6: Final answer
    x = 820.34

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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.