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Finding the Fourth Proportional to 610.58, 842.18 and 486.02

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Solution

The fourth proportional to 610.58, 842.18 and 486.02 is: 670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 842.18 = 486.02 : x
  2. Step 2: Convert to fraction form
    610.58/842.18 = 486.02/x
  3. Step 3: Cross multiply
    610.58x = 842.18 × 486.02
  4. Step 4: Simplify right side
    610.58x = 409,316.32
  5. Step 5: Solve for x
    x = 409,316.32/610.58
  6. Step 6: Final answer
    x = 670.37

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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.