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Finding the Fourth Proportional to 945.73, 1,303.75 and 735.53

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Solution

The fourth proportional to 945.73, 1,303.75 and 735.53 is: 1,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.73 : 1,303.75 = 735.53 : x
  2. Step 2: Convert to fraction form
    945.73/1,303.75 = 735.53/x
  3. Step 3: Cross multiply
    945.73x = 1,303.75 × 735.53
  4. Step 4: Simplify right side
    945.73x = 958,949.08
  5. Step 5: Solve for x
    x = 958,949.08/945.73
  6. Step 6: Final answer
    x = 1,013.98

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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.