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Finding the Fourth Proportional to 545.77, 752.29 and 348.94

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Solution

The fourth proportional to 545.77, 752.29 and 348.94 is: 480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.77 : 752.29 = 348.94 : x
  2. Step 2: Convert to fraction form
    545.77/752.29 = 348.94/x
  3. Step 3: Cross multiply
    545.77x = 752.29 × 348.94
  4. Step 4: Simplify right side
    545.77x = 262,504.07
  5. Step 5: Solve for x
    x = 262,504.07/545.77
  6. Step 6: Final answer
    x = 480.98

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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.