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Finding the Fourth Proportional to 1,220.10, 1,830.15 and 782.70

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Solution

The fourth proportional to 1,220.10, 1,830.15 and 782.70 is: 1,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.10 : 1,830.15 = 782.70 : x
  2. Step 2: Convert to fraction form
    1,220.10/1,830.15 = 782.70/x
  3. Step 3: Cross multiply
    1,220.10x = 1,830.15 × 782.70
  4. Step 4: Simplify right side
    1,220.10x = 1,432,458.41
  5. Step 5: Solve for x
    x = 1,432,458.41/1,220.10
  6. Step 6: Final answer
    x = 1,174.05

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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.