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Finding the Fourth Proportional to 1,359.47, 2,037.66 and 810.50

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Solution

The fourth proportional to 1,359.47, 2,037.66 and 810.50 is: 1,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.47 : 2,037.66 = 810.50 : x
  2. Step 2: Convert to fraction form
    1,359.47/2,037.66 = 810.50/x
  3. Step 3: Cross multiply
    1,359.47x = 2,037.66 × 810.50
  4. Step 4: Simplify right side
    1,359.47x = 1,651,513.24
  5. Step 5: Solve for x
    x = 1,651,513.24/1,359.47
  6. Step 6: Final answer
    x = 1,214.83

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1.5x scale

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.