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Finding the Fourth Proportional to 1,225.04, 1,690.60 and 673.04

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Solution

The fourth proportional to 1,225.04, 1,690.60 and 673.04 is: 928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.04 : 1,690.60 = 673.04 : x
  2. Step 2: Convert to fraction form
    1,225.04/1,690.60 = 673.04/x
  3. Step 3: Cross multiply
    1,225.04x = 1,690.60 × 673.04
  4. Step 4: Simplify right side
    1,225.04x = 1,137,841.42
  5. Step 5: Solve for x
    x = 1,137,841.42/1,225.04
  6. Step 6: Final answer
    x = 928.82

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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.