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Finding the Fourth Proportional to 410.86, 613.58 and 365.50

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Solution

The fourth proportional to 410.86, 613.58 and 365.50 is: 545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.86 : 613.58 = 365.50 : x
  2. Step 2: Convert to fraction form
    410.86/613.58 = 365.50/x
  3. Step 3: Cross multiply
    410.86x = 613.58 × 365.50
  4. Step 4: Simplify right side
    410.86x = 224,263.49
  5. Step 5: Solve for x
    x = 224,263.49/410.86
  6. Step 6: Final answer
    x = 545.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.