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Finding the Fourth Proportional to 1,054.51, 1,581.98 and 621.56

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Solution

The fourth proportional to 1,054.51, 1,581.98 and 621.56 is: 932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.51 : 1,581.98 = 621.56 : x
  2. Step 2: Convert to fraction form
    1,054.51/1,581.98 = 621.56/x
  3. Step 3: Cross multiply
    1,054.51x = 1,581.98 × 621.56
  4. Step 4: Simplify right side
    1,054.51x = 983,296.34
  5. Step 5: Solve for x
    x = 983,296.34/1,054.51
  6. Step 6: Final answer
    x = 932.47

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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.