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Finding the Fourth Proportional to 764.31, 1,054.75 and 415

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Solution

The fourth proportional to 764.31, 1,054.75 and 415 is: 572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.31 : 1,054.75 = 415 : x
  2. Step 2: Convert to fraction form
    764.31/1,054.75 = 415/x
  3. Step 3: Cross multiply
    764.31x = 1,054.75 × 415
  4. Step 4: Simplify right side
    764.31x = 437,721.25
  5. Step 5: Solve for x
    x = 437,721.25/764.31
  6. Step 6: Final answer
    x = 572.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.