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Finding the Fourth Proportional to 1,220.46, 1,830.78 and 354.76

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Solution

The fourth proportional to 1,220.46, 1,830.78 and 354.76 is: 532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.46 : 1,830.78 = 354.76 : x
  2. Step 2: Convert to fraction form
    1,220.46/1,830.78 = 354.76/x
  3. Step 3: Cross multiply
    1,220.46x = 1,830.78 × 354.76
  4. Step 4: Simplify right side
    1,220.46x = 649,487.51
  5. Step 5: Solve for x
    x = 649,487.51/1,220.46
  6. Step 6: Final answer
    x = 532.17

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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.