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Finding the Fourth Proportional to 545.16, 757.34 and 540.08

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Solution

The fourth proportional to 545.16, 757.34 and 540.08 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.16 : 757.34 = 540.08 : x
  2. Step 2: Convert to fraction form
    545.16/757.34 = 540.08/x
  3. Step 3: Cross multiply
    545.16x = 757.34 × 540.08
  4. Step 4: Simplify right side
    545.16x = 409,024.19
  5. Step 5: Solve for x
    x = 409,024.19/545.16
  6. Step 6: Final answer
    x = 750.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.