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Finding the Fourth Proportional to 1,303.66, 1,951.56 and 840.51

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Solution

The fourth proportional to 1,303.66, 1,951.56 and 840.51 is: 1,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.66 : 1,951.56 = 840.51 : x
  2. Step 2: Convert to fraction form
    1,303.66/1,951.56 = 840.51/x
  3. Step 3: Cross multiply
    1,303.66x = 1,951.56 × 840.51
  4. Step 4: Simplify right side
    1,303.66x = 1,640,310.38
  5. Step 5: Solve for x
    x = 1,640,310.38/1,303.66
  6. Step 6: Final answer
    x = 1,258.24

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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.