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Finding the Fourth Proportional to 1,055.34, 1,583.28 and 593.64

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Solution

The fourth proportional to 1,055.34, 1,583.28 and 593.64 is: 890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.34 : 1,583.28 = 593.64 : x
  2. Step 2: Convert to fraction form
    1,055.34/1,583.28 = 593.64/x
  3. Step 3: Cross multiply
    1,055.34x = 1,583.28 × 593.64
  4. Step 4: Simplify right side
    1,055.34x = 939,898.34
  5. Step 5: Solve for x
    x = 939,898.34/1,055.34
  6. Step 6: Final answer
    x = 890.61

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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.