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Finding the Fourth Proportional to 1,365.51, 2,048.43 and 625.35

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Solution

The fourth proportional to 1,365.51, 2,048.43 and 625.35 is: 938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.51 : 2,048.43 = 625.35 : x
  2. Step 2: Convert to fraction form
    1,365.51/2,048.43 = 625.35/x
  3. Step 3: Cross multiply
    1,365.51x = 2,048.43 × 625.35
  4. Step 4: Simplify right side
    1,365.51x = 1,280,978.00
  5. Step 5: Solve for x
    x = 1,280,978.00/1,365.51
  6. Step 6: Final answer
    x = 938.10

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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.