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Finding the Fourth Proportional to 1,192.42, 1,789.02 and 499.28

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Solution

The fourth proportional to 1,192.42, 1,789.02 and 499.28 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.42 : 1,789.02 = 499.28 : x
  2. Step 2: Convert to fraction form
    1,192.42/1,789.02 = 499.28/x
  3. Step 3: Cross multiply
    1,192.42x = 1,789.02 × 499.28
  4. Step 4: Simplify right side
    1,192.42x = 893,223.02
  5. Step 5: Solve for x
    x = 893,223.02/1,192.42
  6. Step 6: Final answer
    x = 749.08

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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.