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Finding the Fourth Proportional to 567.06, 783.30 and 437.70

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Solution

The fourth proportional to 567.06, 783.30 and 437.70 is: 604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.06 : 783.30 = 437.70 : x
  2. Step 2: Convert to fraction form
    567.06/783.30 = 437.70/x
  3. Step 3: Cross multiply
    567.06x = 783.30 × 437.70
  4. Step 4: Simplify right side
    567.06x = 342,850.41
  5. Step 5: Solve for x
    x = 342,850.41/567.06
  6. Step 6: Final answer
    x = 604.61

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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.