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Finding the Fourth Proportional to 610.78, 842.93 and 389.83

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Solution

The fourth proportional to 610.78, 842.93 and 389.83 is: 538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.78 : 842.93 = 389.83 : x
  2. Step 2: Convert to fraction form
    610.78/842.93 = 389.83/x
  3. Step 3: Cross multiply
    610.78x = 842.93 × 389.83
  4. Step 4: Simplify right side
    610.78x = 328,597.45
  5. Step 5: Solve for x
    x = 328,597.45/610.78
  6. Step 6: Final answer
    x = 538.00

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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.