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Finding the Fourth Proportional to 1,800.78, 2,701.53 and 646.62

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Solution

The fourth proportional to 1,800.78, 2,701.53 and 646.62 is: 970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.78 : 2,701.53 = 646.62 : x
  2. Step 2: Convert to fraction form
    1,800.78/2,701.53 = 646.62/x
  3. Step 3: Cross multiply
    1,800.78x = 2,701.53 × 646.62
  4. Step 4: Simplify right side
    1,800.78x = 1,746,863.33
  5. Step 5: Solve for x
    x = 1,746,863.33/1,800.78
  6. Step 6: Final answer
    x = 970.06

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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.