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Finding the Fourth Proportional to 543.57, 816.77 and 508.02

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Solution

The fourth proportional to 543.57, 816.77 and 508.02 is: 763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.57 : 816.77 = 508.02 : x
  2. Step 2: Convert to fraction form
    543.57/816.77 = 508.02/x
  3. Step 3: Cross multiply
    543.57x = 816.77 × 508.02
  4. Step 4: Simplify right side
    543.57x = 414,935.50
  5. Step 5: Solve for x
    x = 414,935.50/543.57
  6. Step 6: Final answer
    x = 763.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.