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Finding the Fourth Proportional to 1,303.53, 1,953.46 and 936.60

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Solution

The fourth proportional to 1,303.53, 1,953.46 and 936.60 is: 1,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.53 : 1,953.46 = 936.60 : x
  2. Step 2: Convert to fraction form
    1,303.53/1,953.46 = 936.60/x
  3. Step 3: Cross multiply
    1,303.53x = 1,953.46 × 936.60
  4. Step 4: Simplify right side
    1,303.53x = 1,829,596.19
  5. Step 5: Solve for x
    x = 1,829,596.19/1,303.53
  6. Step 6: Final answer
    x = 1,403.58

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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.