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Finding the Fourth Proportional to 545.06, 752.34 and 405.32

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Solution

The fourth proportional to 545.06, 752.34 and 405.32 is: 559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 752.34 = 405.32 : x
  2. Step 2: Convert to fraction form
    545.06/752.34 = 405.32/x
  3. Step 3: Cross multiply
    545.06x = 752.34 × 405.32
  4. Step 4: Simplify right side
    545.06x = 304,938.45
  5. Step 5: Solve for x
    x = 304,938.45/545.06
  6. Step 6: Final answer
    x = 559.46

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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.