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Finding the Fourth Proportional to 1,054.52, 1,587.91 and 782.54

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Solution

The fourth proportional to 1,054.52, 1,587.91 and 782.54 is: 1,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.52 : 1,587.91 = 782.54 : x
  2. Step 2: Convert to fraction form
    1,054.52/1,587.91 = 782.54/x
  3. Step 3: Cross multiply
    1,054.52x = 1,587.91 × 782.54
  4. Step 4: Simplify right side
    1,054.52x = 1,242,603.09
  5. Step 5: Solve for x
    x = 1,242,603.09/1,054.52
  6. Step 6: Final answer
    x = 1,178.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.