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Finding the Fourth Proportional to 545.36, 818.76 and 314.48

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Solution

The fourth proportional to 545.36, 818.76 and 314.48 is: 472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.36 : 818.76 = 314.48 : x
  2. Step 2: Convert to fraction form
    545.36/818.76 = 314.48/x
  3. Step 3: Cross multiply
    545.36x = 818.76 × 314.48
  4. Step 4: Simplify right side
    545.36x = 257,483.64
  5. Step 5: Solve for x
    x = 257,483.64/545.36
  6. Step 6: Final answer
    x = 472.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.