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Finding the Fourth Proportional to 1,053.50, 1,454.13 and 633.99

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Solution

The fourth proportional to 1,053.50, 1,454.13 and 633.99 is: 875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.50 : 1,454.13 = 633.99 : x
  2. Step 2: Convert to fraction form
    1,053.50/1,454.13 = 633.99/x
  3. Step 3: Cross multiply
    1,053.50x = 1,454.13 × 633.99
  4. Step 4: Simplify right side
    1,053.50x = 921,903.88
  5. Step 5: Solve for x
    x = 921,903.88/1,053.50
  6. Step 6: Final answer
    x = 875.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.