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Finding the Fourth Proportional to 1,305.47, 1,955.75 and 646.58

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Solution

The fourth proportional to 1,305.47, 1,955.75 and 646.58 is: 968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.47 : 1,955.75 = 646.58 : x
  2. Step 2: Convert to fraction form
    1,305.47/1,955.75 = 646.58/x
  3. Step 3: Cross multiply
    1,305.47x = 1,955.75 × 646.58
  4. Step 4: Simplify right side
    1,305.47x = 1,264,535.82
  5. Step 5: Solve for x
    x = 1,264,535.82/1,305.47
  6. Step 6: Final answer
    x = 968.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.