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Finding the Fourth Proportional to 1,055.18, 1,583.02 and 405.56

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Solution

The fourth proportional to 1,055.18, 1,583.02 and 405.56 is: 608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.18 : 1,583.02 = 405.56 : x
  2. Step 2: Convert to fraction form
    1,055.18/1,583.02 = 405.56/x
  3. Step 3: Cross multiply
    1,055.18x = 1,583.02 × 405.56
  4. Step 4: Simplify right side
    1,055.18x = 642,009.59
  5. Step 5: Solve for x
    x = 642,009.59/1,055.18
  6. Step 6: Final answer
    x = 608.44

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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.