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Finding the Fourth Proportional to 545.56, 753.03 and 405.82

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Solution

The fourth proportional to 545.56, 753.03 and 405.82 is: 560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.56 : 753.03 = 405.82 : x
  2. Step 2: Convert to fraction form
    545.56/753.03 = 405.82/x
  3. Step 3: Cross multiply
    545.56x = 753.03 × 405.82
  4. Step 4: Simplify right side
    545.56x = 305,594.63
  5. Step 5: Solve for x
    x = 305,594.63/545.56
  6. Step 6: Final answer
    x = 560.15

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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.