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Finding the Fourth Proportional to 542.82, 810.66 and 537.15

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Solution

The fourth proportional to 542.82, 810.66 and 537.15 is: 802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.82 : 810.66 = 537.15 : x
  2. Step 2: Convert to fraction form
    542.82/810.66 = 537.15/x
  3. Step 3: Cross multiply
    542.82x = 810.66 × 537.15
  4. Step 4: Simplify right side
    542.82x = 435,446.02
  5. Step 5: Solve for x
    x = 435,446.02/542.82
  6. Step 6: Final answer
    x = 802.19

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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.