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Finding the Fourth Proportional to 1,039.49, 1,434.61 and 646.57

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Solution

The fourth proportional to 1,039.49, 1,434.61 and 646.57 is: 892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.49 : 1,434.61 = 646.57 : x
  2. Step 2: Convert to fraction form
    1,039.49/1,434.61 = 646.57/x
  3. Step 3: Cross multiply
    1,039.49x = 1,434.61 × 646.57
  4. Step 4: Simplify right side
    1,039.49x = 927,575.79
  5. Step 5: Solve for x
    x = 927,575.79/1,039.49
  6. Step 6: Final answer
    x = 892.34

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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.