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Finding the Fourth Proportional to 545.48, 752.74 and 309.49

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Solution

The fourth proportional to 545.48, 752.74 and 309.49 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.48 : 752.74 = 309.49 : x
  2. Step 2: Convert to fraction form
    545.48/752.74 = 309.49/x
  3. Step 3: Cross multiply
    545.48x = 752.74 × 309.49
  4. Step 4: Simplify right side
    545.48x = 232,962.85
  5. Step 5: Solve for x
    x = 232,962.85/545.48
  6. Step 6: Final answer
    x = 427.08

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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.