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Finding the Fourth Proportional to 1,039.29, 1,434.47 and 646.08

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Solution

The fourth proportional to 1,039.29, 1,434.47 and 646.08 is: 891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.29 : 1,434.47 = 646.08 : x
  2. Step 2: Convert to fraction form
    1,039.29/1,434.47 = 646.08/x
  3. Step 3: Cross multiply
    1,039.29x = 1,434.47 × 646.08
  4. Step 4: Simplify right side
    1,039.29x = 926,782.38
  5. Step 5: Solve for x
    x = 926,782.38/1,039.29
  6. Step 6: Final answer
    x = 891.75

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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.