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Finding the Fourth Proportional to 1,051.27, 1,575.02 and 640.19

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Solution

The fourth proportional to 1,051.27, 1,575.02 and 640.19 is: 959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.27 : 1,575.02 = 640.19 : x
  2. Step 2: Convert to fraction form
    1,051.27/1,575.02 = 640.19/x
  3. Step 3: Cross multiply
    1,051.27x = 1,575.02 × 640.19
  4. Step 4: Simplify right side
    1,051.27x = 1,008,312.05
  5. Step 5: Solve for x
    x = 1,008,312.05/1,051.27
  6. Step 6: Final answer
    x = 959.14

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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.