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Finding the Fourth Proportional to 610.29, 910.08 and 543.90

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Solution

The fourth proportional to 610.29, 910.08 and 543.90 is: 811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 910.08 = 543.90 : x
  2. Step 2: Convert to fraction form
    610.29/910.08 = 543.90/x
  3. Step 3: Cross multiply
    610.29x = 910.08 × 543.90
  4. Step 4: Simplify right side
    610.29x = 494,992.51
  5. Step 5: Solve for x
    x = 494,992.51/610.29
  6. Step 6: Final answer
    x = 811.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.