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Finding the Fourth Proportional to 1,878.30, 2,817.64 and 645.55

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Solution

The fourth proportional to 1,878.30, 2,817.64 and 645.55 is: 968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.30 : 2,817.64 = 645.55 : x
  2. Step 2: Convert to fraction form
    1,878.30/2,817.64 = 645.55/x
  3. Step 3: Cross multiply
    1,878.30x = 2,817.64 × 645.55
  4. Step 4: Simplify right side
    1,878.30x = 1,818,913.67
  5. Step 5: Solve for x
    x = 1,818,913.67/1,878.30
  6. Step 6: Final answer
    x = 968.38

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1.5x scale

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.