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Finding the Fourth Proportional to 545.77, 753.06 and 309.72

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Solution

The fourth proportional to 545.77, 753.06 and 309.72 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.77 : 753.06 = 309.72 : x
  2. Step 2: Convert to fraction form
    545.77/753.06 = 309.72/x
  3. Step 3: Cross multiply
    545.77x = 753.06 × 309.72
  4. Step 4: Simplify right side
    545.77x = 233,239.77
  5. Step 5: Solve for x
    x = 233,239.77/545.77
  6. Step 6: Final answer
    x = 427.36

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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.