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Finding the Fourth Proportional to 840.22, 1,258.95 and 514.66

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Solution

The fourth proportional to 840.22, 1,258.95 and 514.66 is: 771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.22 : 1,258.95 = 514.66 : x
  2. Step 2: Convert to fraction form
    840.22/1,258.95 = 514.66/x
  3. Step 3: Cross multiply
    840.22x = 1,258.95 × 514.66
  4. Step 4: Simplify right side
    840.22x = 647,931.21
  5. Step 5: Solve for x
    x = 647,931.21/840.22
  6. Step 6: Final answer
    x = 771.14

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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.