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Finding the Fourth Proportional to 1,429.61, 2,145.08 and 649.85

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Solution

The fourth proportional to 1,429.61, 2,145.08 and 649.85 is: 975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.61 : 2,145.08 = 649.85 : x
  2. Step 2: Convert to fraction form
    1,429.61/2,145.08 = 649.85/x
  3. Step 3: Cross multiply
    1,429.61x = 2,145.08 × 649.85
  4. Step 4: Simplify right side
    1,429.61x = 1,393,971.14
  5. Step 5: Solve for x
    x = 1,393,971.14/1,429.61
  6. Step 6: Final answer
    x = 975.07

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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.