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Finding the Fourth Proportional to 1,403.81, 2,103.82 and 777.63

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Solution

The fourth proportional to 1,403.81, 2,103.82 and 777.63 is: 1,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.81 : 2,103.82 = 777.63 : x
  2. Step 2: Convert to fraction form
    1,403.81/2,103.82 = 777.63/x
  3. Step 3: Cross multiply
    1,403.81x = 2,103.82 × 777.63
  4. Step 4: Simplify right side
    1,403.81x = 1,635,983.71
  5. Step 5: Solve for x
    x = 1,635,983.71/1,403.81
  6. Step 6: Final answer
    x = 1,165.39

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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.