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Finding the Fourth Proportional to 945.53, 1,305.15 and 646.96

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Solution

The fourth proportional to 945.53, 1,305.15 and 646.96 is: 893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.53 : 1,305.15 = 646.96 : x
  2. Step 2: Convert to fraction form
    945.53/1,305.15 = 646.96/x
  3. Step 3: Cross multiply
    945.53x = 1,305.15 × 646.96
  4. Step 4: Simplify right side
    945.53x = 844,373.32
  5. Step 5: Solve for x
    x = 844,373.32/945.53
  6. Step 6: Final answer
    x = 893.02

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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.