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Finding the Fourth Proportional to 840.20, 1,258.14 and 550.76

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Solution

The fourth proportional to 840.20, 1,258.14 and 550.76 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.20 : 1,258.14 = 550.76 : x
  2. Step 2: Convert to fraction form
    840.20/1,258.14 = 550.76/x
  3. Step 3: Cross multiply
    840.20x = 1,258.14 × 550.76
  4. Step 4: Simplify right side
    840.20x = 692,933.19
  5. Step 5: Solve for x
    x = 692,933.19/840.20
  6. Step 6: Final answer
    x = 824.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.