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Finding the Fourth Proportional to 1,055.36, 1,583.15 and 639.23

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Solution

The fourth proportional to 1,055.36, 1,583.15 and 639.23 is: 958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.36 : 1,583.15 = 639.23 : x
  2. Step 2: Convert to fraction form
    1,055.36/1,583.15 = 639.23/x
  3. Step 3: Cross multiply
    1,055.36x = 1,583.15 × 639.23
  4. Step 4: Simplify right side
    1,055.36x = 1,011,985.86
  5. Step 5: Solve for x
    x = 1,011,985.86/1,055.36
  6. Step 6: Final answer
    x = 958.90

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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.