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Finding the Fourth Proportional to 567.60, 855.60 and 558.96

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Solution

The fourth proportional to 567.60, 855.60 and 558.96 is: 842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 855.60 = 558.96 : x
  2. Step 2: Convert to fraction form
    567.60/855.60 = 558.96/x
  3. Step 3: Cross multiply
    567.60x = 855.60 × 558.96
  4. Step 4: Simplify right side
    567.60x = 478,246.18
  5. Step 5: Solve for x
    x = 478,246.18/567.60
  6. Step 6: Final answer
    x = 842.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.