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Finding the Fourth Proportional to 840.02, 1,258.14 and 514.70

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Solution

The fourth proportional to 840.02, 1,258.14 and 514.70 is: 770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.02 : 1,258.14 = 514.70 : x
  2. Step 2: Convert to fraction form
    840.02/1,258.14 = 514.70/x
  3. Step 3: Cross multiply
    840.02x = 1,258.14 × 514.70
  4. Step 4: Simplify right side
    840.02x = 647,564.66
  5. Step 5: Solve for x
    x = 647,564.66/840.02
  6. Step 6: Final answer
    x = 770.89

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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.