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Finding the Fourth Proportional to 543.16, 749.76 and 484.84

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Solution

The fourth proportional to 543.16, 749.76 and 484.84 is: 669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 749.76 = 484.84 : x
  2. Step 2: Convert to fraction form
    543.16/749.76 = 484.84/x
  3. Step 3: Cross multiply
    543.16x = 749.76 × 484.84
  4. Step 4: Simplify right side
    543.16x = 363,513.64
  5. Step 5: Solve for x
    x = 363,513.64/543.16
  6. Step 6: Final answer
    x = 669.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.