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Finding the Fourth Proportional to 545.04, 751.91 and 345.78

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Solution

The fourth proportional to 545.04, 751.91 and 345.78 is: 477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.04 : 751.91 = 345.78 : x
  2. Step 2: Convert to fraction form
    545.04/751.91 = 345.78/x
  3. Step 3: Cross multiply
    545.04x = 751.91 × 345.78
  4. Step 4: Simplify right side
    545.04x = 259,993.71
  5. Step 5: Solve for x
    x = 259,993.71/545.04
  6. Step 6: Final answer
    x = 477.02

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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.