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Finding the Fourth Proportional to 1,305.59, 1,955.93 and 646.70

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Solution

The fourth proportional to 1,305.59, 1,955.93 and 646.70 is: 968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.59 : 1,955.93 = 646.70 : x
  2. Step 2: Convert to fraction form
    1,305.59/1,955.93 = 646.70/x
  3. Step 3: Cross multiply
    1,305.59x = 1,955.93 × 646.70
  4. Step 4: Simplify right side
    1,305.59x = 1,264,899.93
  5. Step 5: Solve for x
    x = 1,264,899.93/1,305.59
  6. Step 6: Final answer
    x = 968.83

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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.