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Finding the Fourth Proportional to 1,031.94, 1,545.85 and 641.01

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Solution

The fourth proportional to 1,031.94, 1,545.85 and 641.01 is: 960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.94 : 1,545.85 = 641.01 : x
  2. Step 2: Convert to fraction form
    1,031.94/1,545.85 = 641.01/x
  3. Step 3: Cross multiply
    1,031.94x = 1,545.85 × 641.01
  4. Step 4: Simplify right side
    1,031.94x = 990,905.31
  5. Step 5: Solve for x
    x = 990,905.31/1,031.94
  6. Step 6: Final answer
    x = 960.24

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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.