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Finding the Fourth Proportional to 543.16, 749.20 and 477.80

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Solution

The fourth proportional to 543.16, 749.20 and 477.80 is: 659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 749.20 = 477.80 : x
  2. Step 2: Convert to fraction form
    543.16/749.20 = 477.80/x
  3. Step 3: Cross multiply
    543.16x = 749.20 × 477.80
  4. Step 4: Simplify right side
    543.16x = 357,967.76
  5. Step 5: Solve for x
    x = 357,967.76/543.16
  6. Step 6: Final answer
    x = 659.05

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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.