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Finding the Fourth Proportional to 1,365.18, 1,883.40 and 840.30

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Solution

The fourth proportional to 1,365.18, 1,883.40 and 840.30 is: 1,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.18 : 1,883.40 = 840.30 : x
  2. Step 2: Convert to fraction form
    1,365.18/1,883.40 = 840.30/x
  3. Step 3: Cross multiply
    1,365.18x = 1,883.40 × 840.30
  4. Step 4: Simplify right side
    1,365.18x = 1,582,621.02
  5. Step 5: Solve for x
    x = 1,582,621.02/1,365.18
  6. Step 6: Final answer
    x = 1,159.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.