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Finding the Fourth Proportional to 1,269.49, 1,901.54 and 610.40

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Solution

The fourth proportional to 1,269.49, 1,901.54 and 610.40 is: 914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.49 : 1,901.54 = 610.40 : x
  2. Step 2: Convert to fraction form
    1,269.49/1,901.54 = 610.40/x
  3. Step 3: Cross multiply
    1,269.49x = 1,901.54 × 610.40
  4. Step 4: Simplify right side
    1,269.49x = 1,160,700.02
  5. Step 5: Solve for x
    x = 1,160,700.02/1,269.49
  6. Step 6: Final answer
    x = 914.30

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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.