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Finding the Fourth Proportional to 1,130.58, 1,696.89 and 946.64

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Solution

The fourth proportional to 1,130.58, 1,696.89 and 946.64 is: 1,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.58 : 1,696.89 = 946.64 : x
  2. Step 2: Convert to fraction form
    1,130.58/1,696.89 = 946.64/x
  3. Step 3: Cross multiply
    1,130.58x = 1,696.89 × 946.64
  4. Step 4: Simplify right side
    1,130.58x = 1,606,343.95
  5. Step 5: Solve for x
    x = 1,606,343.95/1,130.58
  6. Step 6: Final answer
    x = 1,420.81

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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.