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Finding the Fourth Proportional to 543.12, 810.27 and 465.18

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Solution

The fourth proportional to 543.12, 810.27 and 465.18 is: 693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.12 : 810.27 = 465.18 : x
  2. Step 2: Convert to fraction form
    543.12/810.27 = 465.18/x
  3. Step 3: Cross multiply
    543.12x = 810.27 × 465.18
  4. Step 4: Simplify right side
    543.12x = 376,921.40
  5. Step 5: Solve for x
    x = 376,921.40/543.12
  6. Step 6: Final answer
    x = 693.99

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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.