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Finding the Fourth Proportional to 1,006.61, 1,510.37 and 965.61

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Solution

The fourth proportional to 1,006.61, 1,510.37 and 965.61 is: 1,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.61 : 1,510.37 = 965.61 : x
  2. Step 2: Convert to fraction form
    1,006.61/1,510.37 = 965.61/x
  3. Step 3: Cross multiply
    1,006.61x = 1,510.37 × 965.61
  4. Step 4: Simplify right side
    1,006.61x = 1,458,423.55
  5. Step 5: Solve for x
    x = 1,458,423.55/1,006.61
  6. Step 6: Final answer
    x = 1,448.85

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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.