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Finding the Fourth Proportional to 862.34, 1,298.57 and 620.55

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Solution

The fourth proportional to 862.34, 1,298.57 and 620.55 is: 934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.34 : 1,298.57 = 620.55 : x
  2. Step 2: Convert to fraction form
    862.34/1,298.57 = 620.55/x
  3. Step 3: Cross multiply
    862.34x = 1,298.57 × 620.55
  4. Step 4: Simplify right side
    862.34x = 805,824.51
  5. Step 5: Solve for x
    x = 805,824.51/862.34
  6. Step 6: Final answer
    x = 934.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.