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Finding the Fourth Proportional to 1,207.55, 1,666.42 and 683.68

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Solution

The fourth proportional to 1,207.55, 1,666.42 and 683.68 is: 943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.55 : 1,666.42 = 683.68 : x
  2. Step 2: Convert to fraction form
    1,207.55/1,666.42 = 683.68/x
  3. Step 3: Cross multiply
    1,207.55x = 1,666.42 × 683.68
  4. Step 4: Simplify right side
    1,207.55x = 1,139,298.03
  5. Step 5: Solve for x
    x = 1,139,298.03/1,207.55
  6. Step 6: Final answer
    x = 943.48

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1.5x scale

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.