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Finding the Fourth Proportional to 567.30, 786.15 and 556.35

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Solution

The fourth proportional to 567.30, 786.15 and 556.35 is: 770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.30 : 786.15 = 556.35 : x
  2. Step 2: Convert to fraction form
    567.30/786.15 = 556.35/x
  3. Step 3: Cross multiply
    567.30x = 786.15 × 556.35
  4. Step 4: Simplify right side
    567.30x = 437,374.55
  5. Step 5: Solve for x
    x = 437,374.55/567.30
  6. Step 6: Final answer
    x = 770.98

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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.