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Finding the Fourth Proportional to 610.66, 842.98 and 389.91

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Solution

The fourth proportional to 610.66, 842.98 and 389.91 is: 538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.66 : 842.98 = 389.91 : x
  2. Step 2: Convert to fraction form
    610.66/842.98 = 389.91/x
  3. Step 3: Cross multiply
    610.66x = 842.98 × 389.91
  4. Step 4: Simplify right side
    610.66x = 328,686.33
  5. Step 5: Solve for x
    x = 328,686.33/610.66
  6. Step 6: Final answer
    x = 538.25

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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.