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Finding the Fourth Proportional to 1,031.51, 1,546.79 and 640.93

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Solution

The fourth proportional to 1,031.51, 1,546.79 and 640.93 is: 961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.51 : 1,546.79 = 640.93 : x
  2. Step 2: Convert to fraction form
    1,031.51/1,546.79 = 640.93/x
  3. Step 3: Cross multiply
    1,031.51x = 1,546.79 × 640.93
  4. Step 4: Simplify right side
    1,031.51x = 991,384.11
  5. Step 5: Solve for x
    x = 991,384.11/1,031.51
  6. Step 6: Final answer
    x = 961.10

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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.