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Finding the Fourth Proportional to 1,053.93, 1,581.30 and 643.26

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Solution

The fourth proportional to 1,053.93, 1,581.30 and 643.26 is: 965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.93 : 1,581.30 = 643.26 : x
  2. Step 2: Convert to fraction form
    1,053.93/1,581.30 = 643.26/x
  3. Step 3: Cross multiply
    1,053.93x = 1,581.30 × 643.26
  4. Step 4: Simplify right side
    1,053.93x = 1,017,187.04
  5. Step 5: Solve for x
    x = 1,017,187.04/1,053.93
  6. Step 6: Final answer
    x = 965.14

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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.