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Finding the Fourth Proportional to 567.76, 785.64 and 543.76

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Solution

The fourth proportional to 567.76, 785.64 and 543.76 is: 752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.76 : 785.64 = 543.76 : x
  2. Step 2: Convert to fraction form
    567.76/785.64 = 543.76/x
  3. Step 3: Cross multiply
    567.76x = 785.64 × 543.76
  4. Step 4: Simplify right side
    567.76x = 427,199.61
  5. Step 5: Solve for x
    x = 427,199.61/567.76
  6. Step 6: Final answer
    x = 752.43

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Why These Related Problems?

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