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Finding the Fourth Proportional to 1,055.70, 1,583.73 and 315.36

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Solution

The fourth proportional to 1,055.70, 1,583.73 and 315.36 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.70 : 1,583.73 = 315.36 : x
  2. Step 2: Convert to fraction form
    1,055.70/1,583.73 = 315.36/x
  3. Step 3: Cross multiply
    1,055.70x = 1,583.73 × 315.36
  4. Step 4: Simplify right side
    1,055.70x = 499,445.09
  5. Step 5: Solve for x
    x = 499,445.09/1,055.70
  6. Step 6: Final answer
    x = 473.09

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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.