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Finding the Fourth Proportional to 567.68, 786.68 and 556.74

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Solution

The fourth proportional to 567.68, 786.68 and 556.74 is: 771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.68 : 786.68 = 556.74 : x
  2. Step 2: Convert to fraction form
    567.68/786.68 = 556.74/x
  3. Step 3: Cross multiply
    567.68x = 786.68 × 556.74
  4. Step 4: Simplify right side
    567.68x = 437,975.53
  5. Step 5: Solve for x
    x = 437,975.53/567.68
  6. Step 6: Final answer
    x = 771.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.