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Finding the Fourth Proportional to 1,038.65, 1,556.09 and 604.49

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Solution

The fourth proportional to 1,038.65, 1,556.09 and 604.49 is: 905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.65 : 1,556.09 = 604.49 : x
  2. Step 2: Convert to fraction form
    1,038.65/1,556.09 = 604.49/x
  3. Step 3: Cross multiply
    1,038.65x = 1,556.09 × 604.49
  4. Step 4: Simplify right side
    1,038.65x = 940,637.82
  5. Step 5: Solve for x
    x = 940,637.82/1,038.65
  6. Step 6: Final answer
    x = 905.64

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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.