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Finding the Fourth Proportional to 1,207.50, 1,666.32 and 683.49

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Solution

The fourth proportional to 1,207.50, 1,666.32 and 683.49 is: 943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.50 : 1,666.32 = 683.49 : x
  2. Step 2: Convert to fraction form
    1,207.50/1,666.32 = 683.49/x
  3. Step 3: Cross multiply
    1,207.50x = 1,666.32 × 683.49
  4. Step 4: Simplify right side
    1,207.50x = 1,138,913.06
  5. Step 5: Solve for x
    x = 1,138,913.06/1,207.50
  6. Step 6: Final answer
    x = 943.20

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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.