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Finding the Fourth Proportional to 545.01, 816.30 and 313.35

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Solution

The fourth proportional to 545.01, 816.30 and 313.35 is: 469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.01 : 816.30 = 313.35 : x
  2. Step 2: Convert to fraction form
    545.01/816.30 = 313.35/x
  3. Step 3: Cross multiply
    545.01x = 816.30 × 313.35
  4. Step 4: Simplify right side
    545.01x = 255,787.61
  5. Step 5: Solve for x
    x = 255,787.61/545.01
  6. Step 6: Final answer
    x = 469.33

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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.