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Finding the Fourth Proportional to 1,866.72, 2,800.10 and 770.32

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Solution

The fourth proportional to 1,866.72, 2,800.10 and 770.32 is: 1,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.72 : 2,800.10 = 770.32 : x
  2. Step 2: Convert to fraction form
    1,866.72/2,800.10 = 770.32/x
  3. Step 3: Cross multiply
    1,866.72x = 2,800.10 × 770.32
  4. Step 4: Simplify right side
    1,866.72x = 2,156,973.03
  5. Step 5: Solve for x
    x = 2,156,973.03/1,866.72
  6. Step 6: Final answer
    x = 1,155.49

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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.