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Finding the Fourth Proportional to 1,054.58, 1,581.83 and 624.47

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Solution

The fourth proportional to 1,054.58, 1,581.83 and 624.47 is: 936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.58 : 1,581.83 = 624.47 : x
  2. Step 2: Convert to fraction form
    1,054.58/1,581.83 = 624.47/x
  3. Step 3: Cross multiply
    1,054.58x = 1,581.83 × 624.47
  4. Step 4: Simplify right side
    1,054.58x = 987,802.26
  5. Step 5: Solve for x
    x = 987,802.26/1,054.58
  6. Step 6: Final answer
    x = 936.68

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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.