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Finding the Fourth Proportional to 545.52, 816.98 and 313.72

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Solution

The fourth proportional to 545.52, 816.98 and 313.72 is: 469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.52 : 816.98 = 313.72 : x
  2. Step 2: Convert to fraction form
    545.52/816.98 = 313.72/x
  3. Step 3: Cross multiply
    545.52x = 816.98 × 313.72
  4. Step 4: Simplify right side
    545.52x = 256,302.97
  5. Step 5: Solve for x
    x = 256,302.97/545.52
  6. Step 6: Final answer
    x = 469.83

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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.