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Finding the Fourth Proportional to 545.75, 753.76 and 370.79

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Solution

The fourth proportional to 545.75, 753.76 and 370.79 is: 512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.75 : 753.76 = 370.79 : x
  2. Step 2: Convert to fraction form
    545.75/753.76 = 370.79/x
  3. Step 3: Cross multiply
    545.75x = 753.76 × 370.79
  4. Step 4: Simplify right side
    545.75x = 279,484.82
  5. Step 5: Solve for x
    x = 279,484.82/545.75
  6. Step 6: Final answer
    x = 512.11

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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.