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Finding the Fourth Proportional to 610.33, 841.76 and 492.27

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Solution

The fourth proportional to 610.33, 841.76 and 492.27 is: 678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.33 : 841.76 = 492.27 : x
  2. Step 2: Convert to fraction form
    610.33/841.76 = 492.27/x
  3. Step 3: Cross multiply
    610.33x = 841.76 × 492.27
  4. Step 4: Simplify right side
    610.33x = 414,366.53
  5. Step 5: Solve for x
    x = 414,366.53/610.33
  6. Step 6: Final answer
    x = 678.93

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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.