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Finding the Fourth Proportional to 1,054.51, 1,581.77 and 534.43

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Solution

The fourth proportional to 1,054.51, 1,581.77 and 534.43 is: 801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.51 : 1,581.77 = 534.43 : x
  2. Step 2: Convert to fraction form
    1,054.51/1,581.77 = 534.43/x
  3. Step 3: Cross multiply
    1,054.51x = 1,581.77 × 534.43
  4. Step 4: Simplify right side
    1,054.51x = 845,342.67
  5. Step 5: Solve for x
    x = 845,342.67/1,054.51
  6. Step 6: Final answer
    x = 801.65

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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.