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Finding the Fourth Proportional to 545.94, 823.86 and 527.58

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Solution

The fourth proportional to 545.94, 823.86 and 527.58 is: 796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 823.86 = 527.58 : x
  2. Step 2: Convert to fraction form
    545.94/823.86 = 527.58/x
  3. Step 3: Cross multiply
    545.94x = 823.86 × 527.58
  4. Step 4: Simplify right side
    545.94x = 434,652.06
  5. Step 5: Solve for x
    x = 434,652.06/545.94
  6. Step 6: Final answer
    x = 796.15

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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.