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Finding the Fourth Proportional to 1,225.81, 1,692.18 and 784.32

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Solution

The fourth proportional to 1,225.81, 1,692.18 and 784.32 is: 1,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.81 : 1,692.18 = 784.32 : x
  2. Step 2: Convert to fraction form
    1,225.81/1,692.18 = 784.32/x
  3. Step 3: Cross multiply
    1,225.81x = 1,692.18 × 784.32
  4. Step 4: Simplify right side
    1,225.81x = 1,327,210.62
  5. Step 5: Solve for x
    x = 1,327,210.62/1,225.81
  6. Step 6: Final answer
    x = 1,082.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.