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Finding the Fourth Proportional to 610.49, 842.35 and 386.49

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Solution

The fourth proportional to 610.49, 842.35 and 386.49 is: 533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.49 : 842.35 = 386.49 : x
  2. Step 2: Convert to fraction form
    610.49/842.35 = 386.49/x
  3. Step 3: Cross multiply
    610.49x = 842.35 × 386.49
  4. Step 4: Simplify right side
    610.49x = 325,557.92
  5. Step 5: Solve for x
    x = 325,557.92/610.49
  6. Step 6: Final answer
    x = 533.28

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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.